Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Intermediate Algebra
In the following exercises, math the graphs to one of the following functions: (a) f(x)=x2+4 (b) f(x)=x24 (c) f(x)=(x+4)2 (d) f(x)=(x4)2 (e) f(x)=(x+4)24 (f) f(x)=(x+4)2+4 (g) f(x)=(x4)24 (h) f(x)=(x4)2+4In the following exercises, write the quadratic function in f(x)=a(xh)2+k form whose graph is shown.In the following exercises, write the quadratic function in f(x)=a(xh)2+k form whose graph is shown.In the following exercises, write the quadratic function in f(x)=a(xh)2+k form whose graph is shown.In the following exercises, write the quadratic function in f(x)=a(xh)2+k form whose graph is shown.Graph the quadratic function f(x)=x2+4x+5 first using the properties as we did in the last section and then graph it using transformations. Which method do you prefer? Why?Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section and then graph it using transformations. Which method do you prefer? WhySolve x2+2x80 graphically and (b) write the solution in interval notation.Solve x28x+120 graphically and (b) write the solution in interval notation.Solve x26x50 graphically and (b) write the solution in interval notation.=Solve x2+10x160 graphically and (b) write the solution in interval notation.Solve x2+2x80 algebraically. Write the solution in interval notation.Solve x22x150 algebraically. Write the solution in interval notation.Solve x2+2x+10 algebraically. Write the solution in interval notation.Solve s x2+8x140 algebraically. Write the solution in interval notation.Solve and write any solution in interval notation: a. x2+2x40 b. x2+2x40Solve and write any solution in interval notation: a. x2+3x+30 b. x2+3x+30In the following exercises, (a) solve graphically and (b) write the solution in interval notation. 363. x2+6x+50In the following exercises, (a) solve graphically and (b) write the solution in interval notation. 364. x2+4x120In the following exercises, (a) solve graphically and (b) write the solution in interval notation. 365. x2+4x+30In the following exercises, (a) solve graphically and (b) write the solution in interval notation. 366. x26x+80In the following exercises, (a) solve graphically and (b) write the solution in interval notation. 367. x23x+180In the following exercises, (a) solve graphically and (b) write the solution in interval notation. 368. x2+2x+240In the following exercises, (a) solve graphically and (b) write the solution in interval notation. 369. x2+x+120In the following exercises, (a) solve graphically and (b) write the solution in interval notation. 370. x2+2x+150In the following exercises, solve each inequality algebraically and write any solution in interval notation. 371. x2+3x40In the following exercises, solve each inequality algebraically and write any solution in interval notation. 372. x2+x60In the following exercises, solve each inequality algebraically and write any solution in interval notation. 373. x27x+100In the following exercises, solve each inequality algebraically and write any solution in interval notation. 374. x24x+30In the following exercises, solve each inequality algebraically and write any solution in interval notation. 375. x2+8x15In the following exercises, solve each inequality algebraically and write any solution in interval notation. 376. x2+8x12In the following exercises, solve each inequality algebraically and write any solution in interval notation. 377. x24x+20In the following exercises, solve each inequality algebraically and write any solution in interval notation. 378. x2+8x110In the following exercises, solve each inequality algebraically and write any solution in interval notation. 379. x210x19In the following exercises, solve each inequality algebraically and write any solution in interval notation. 380. x2+6x3In the following exercises, solve each inequality algebraically and write any solution in interval notation. 381. 6x2+19x100In the following exercises, solve each inequality algebraically and write any solution in interval notation. 382. 3x24x+40In the following exercises, solve each inequality algebraically and write any solution in interval notation. 383. 2x2+7x+40In the following exercises, solve each inequality algebraically and write any solution in interval notation. 384. 2x2+5x120In the following exercises, solve each inequality algebraically and write any solution in interval notation. 385. x2+3x+50In the following exercises, solve each inequality algebraically and write any solution in interval notation. 386. x23x+60In the following exercises, solve each inequality algebraically and write any solution in interval notation. 387. x2+x70In the following exercises, solve each inequality algebraically and write any solution in interval notation. 388. x24x50In the following exercises, solve each inequality algebraically and write any solution in interval notation. 389. 2x2+8x100In the following exercises, solve each inequality algebraically and write any solution in interval notation. 390. x2+2x70]Explain critical points and how they are used to solve quadratic inequalities algebraically.Solve x2+2x8 both graphically and algebraically. Which method do you prefer, and why?Describe the steps needed to solve a quadratic inequality graphically.Describe the steps needed to solve a quadratic inequality algebraically.In the following exercises, solve using the Square Root Property. 395. y2=144In the following exercises, solve using the Square Root Property. 396. n280=0In the following exercises, solve using the Square Root Property. 397. 4a2=100In the following exercises, solve using the Square Root Property. 398. 2b2=72In the following exercises, solve using the Square Root Property. 399. r2+32=0In the following exercises, solve using the Square Root Property. 400. t2+18=0In the following exercises, solve using the Square Root Property. 401. 23w220=30In the following exercises, solve using the Square Root Property. 402. 11.5c2+3=19In the following exercises, solve using the Square Root Property. 403. (p5)2+3=19In the following exercises, solve using the Square Root Property. 404. (u+1)2=45In the following exercises, solve using the Square Root Property. 405. (x14)2=316In the following exercises, solve using the Square Root Property. 406. (y23)2=29In the following exercises, solve using the Square Root Property. 407. (n4)250=150In the following exercises, solve using the Square Root Property. 408. (4c1)2=18In the following exercises, solve using the Square Root Property. 409. n2+10n+25=12In the following exercises, solve using the Square Root Property. 410. 64a2+48a+9=81In the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 411. x2+22xIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 412. m28mIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 413. a23aIn the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 414. b2+13bIn the following exercises, solve by completing the square. 415. d2+14d=13In the following exercises, solve by completing the square. 416. y26y=36In the following exercises, solve by completing the square. 417. m2+6m=109In the following exercises, solve by completing the square. 418. t212t=40In the following exercises, solve by completing the square. 419. v214v=31In the following exercises, solve by completing the square. 420. w220w=100In the following exercises, solve by completing the square. 421. m2+10m4=13In the following exercises, solve by completing the square. 422. n26n+11=34In the following exercises, solve by completing the square. 423. a2=3a+8In the following exercises, solve by completing the square. 424. b2=11b5In the following exercises, solve by completing the square. 425. (u+8)(u+4)=14In the following exercises, solve by completing the square. 426. (z10)(z+2)=28In the following exercises, solve by completing the square. 427. 3p218p+15=15In the following exercises, solve by completing the square. 428. 5q2+70q+20=0In the following exercises, solve by completing the square. 429. 4y26y=4In the following exercises, solve by completing the square. 430. 2x2+2x=4In the following exercises, solve by completing the square. 431. 3c2+2c=9In the following exercises, solve by completing the square. 432. 4d22d=8In the following exercises, solve by completing the square. 433. 2x2+6x=5In the following exercises, solve by completing the square. 434. 2x2+4x=5In the following exercises, solve by using the Quadratic Formula. 435. 4x25x+1=0In the following exercises, solve by using the Quadratic Formula. 436. 7y2+4y3=0]In the following exercises, solve by using the Quadratic Formula. 437. r 2 r42=0In the following exercises, solve by using the Quadratic Formula. 438. t2+13t+22=0In the following exercises, solve by using the Quadratic Formula. 439. 4v2+v5=0In the following exercises, solve by using the Quadratic Formula. 440. 2w2+9w+2=0In the following exercises, solve by using the Quadratic Formula. 441. 3m2+8m+2=0In the following exercises, solve by using the Quadratic Formula. 442. 5n2+2n1=0In the following exercises, solve by using the Quadratic Formula. 443. 6a25a+2=0In the following exercises, solve by using the Quadratic Formula. 444. 4b2b+8=0In the following exercises, solve by using the Quadratic Formula. 445. u(u10)+3=0In the following exercises, solve by using the Quadratic Formula. 446. 5z(z2)=3In the following exercises, solve by using the Quadratic Formula. 447. 18p215p=120In the following exercises, solve by using the Quadratic Formula. 448. 25q2+310q=110In the following exercises, solve by using the Quadratic Formula. 449. 4c2+4c+1=0In the following exercises, solve by using the Quadratic Formula. 450. 9d212d=4In the following exercises, determine the number of solutions for each quadratic equation. 451. (a) 9x26x+1=0 (b) 3y28y+1=0 (c) 7m2+12m+4=0 (d) 5n2n+1=0In the following exercises, determine the number of solutions for each quadratic equation. 452. (a) 5x27x8=0 (b) 7x210x+5=0 (c) 25x290x+81=0 (d) 15x28x+4=0In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. Do not solve. 453. (a) 16r28r+1=0 (b) 5t28t+3=9 (c) 3(c+2)2=15In the following exercises, identify the most appropriate method (Factoring, Square Root, or Quadratic Formula) to use to solve each quadratic equation. Do not solve. 454. (a) 4d2+10d5=21 (b) 25x260x+36=0 (c) 6(5y7)2=150In the following exercises, solve. 455. x414x2+24=0In the following exercises, solve. 456. x4+4x232=0In the following exercises, solve. 457. 4x45x2+1=0In the following exercises, solve. 458. (2y+3)2+3(2y+3)28=0In the following exercises, solve. 459. x+3x28=0In the following exercises, solve. 460. 6x+5x6=0In the following exercises, solve. 461. x2310x13+24=0In the following exercises, solve. 462. x+7x12+6=0In the following exercises, solve. 463. 8x22x13=0In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest te nth, if needed. 464. Find two consecutive odd numbers whose product is 323.In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 465. Find two consecutive even numbers whose product is 624.In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 466. A triangular banner has an area of 351 square centimeters. The length of the base is two centimeters longer than four times the height. Find the height and length of the base .In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 467. Julius built a triangular display case for his coin collection. The height of the display case is six inches less than twice the width of the base. The area of the of the back of the case is 70 square inches. Find the height and width of the case.In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 468. A tile mosaic in the shape of a right triangle is used as the corner of a rectangular pathway. The hypotenuse of the mosaic is 5 feet. One side of the mosaic is twice as long as the other side. What are the lengths of the sides? Round to the nearest tenth.In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 469. A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice the width. What is the length of the plywood’s diagonal? Round to the nearest tenth.In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 470. The front walk from the street to Pam’s house has an area of 250 square feet. Its length is two less than four times its width. Find the length and width of the sidewalk. Round to the nearest tenth.In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 471. For Sophia’s graduation party, several tables of the same width will be arranged end to end to give serving table with a total area of 75 square feet. The total length of the tables will be two more than three times the width. Find the length and width of the serving table so Sophia can purchase the correct size table cloth . Round answer to the nearest tenth.In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. A ball is thrown vertically in the air with a velocity of 160 ft/sec. Use the formula h=16t2+v0t to determine when the ball will be 384 feet from the ground. Round to the nearest tenth.In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 473. The couple took a small airplane for a quick flight up to the wine country for a romantic dinner and then returned home. The plane flew a total of 5 hours and each way the trip was 360 miles. If the plane was flying at 150 mph, what was the speed of the wind that affected the plane?In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 474. Ezra kayaked up the river and then back in a total time of 6 hours. The trip was 4 miles each way and the current was difficult. If Roy kayaked at a speed of 5 mph, what was the speed of the current?In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 475. Two handymen can do a home repair in 2 hours if they work together. One of the men takes 3 hours more than the other man to finish the job by himself. How long does it take for each handyman to do the home repair individually?In the following exercises, graph by plotting plot. 476. Graph y=x22In the following exercises, graph by plotting plot. 477. Graph y=x2+3In the following exercises, determine if the following parabolas open up or down. 478. a. y=3x2+3x1 b. y=5x2+6x+3In the following exercises, determine if the following parabolas open up or down. 479. a. y=x2+8x1 b. y=4x27x+1In the following exercises, find ? the equation of the axis of symmetry and ? the vertex. 480. y=x2+6x+8In the following exercises, find ? the equation of the axis of symmetry and ? the vertex. 481. y=2x28x+1In the following exercises, find the x- and y-intercepts. 482. y=x24x+5In the following exercises, find the x- and y-intercepts. 483.y=x28x+15In the following exercises, find the x- and y-intercepts. 484. y=x24x+10In the following exercises, find the x- and y-intercepts. 485. y=5x230x46In the following exercises, find the x- and y-intercepts. 486. y=16x28x+1In the following exercises, find the x- and y-intercepts. 487. y=x2+16x+64In the following exercises, graph by using its properties. 488. y=x2+8x+15In the following exercises, graph by using its properties. 489. y=x22x3In the following exercises, graph by using its properties. 490. y=x2+8x16In the following exercises, graph by using its properties. 491. y=4x24x+1In the following exercises, graph by using its properties. 492. y=x2+6x+13In the following exercises, graph by using its properties. 493. y=2x28x12In the following exercises, find the minimum or maximum value. 494. y=7x2+14x+6In the following exercises, find the minimum or maximum value. 495. y=3x2+1210In the following exercises, solve. Rounding answers to the nearest tenth. 496. A ball is thrown upward from the ground with an initial velocity of 112 ft/sec. Use the quadratic equation h=16t2+112t to find how long it will take the ball to reach maximum height, and then find the maximum height.??In the following exercises, solve. Rounding answers to the nearest tenth. 497. A daycare facility is enclosing a rectangular area along the side of their building for the children to play outdoors. They need to maximize the area using 180 feet of fencing on three sides of the yard. The quadratic equation A=2x2+180x gives the area, A, of the yard for the length, x, of the building that will border the yard. Find the length of the building that should border the yard to maximize the area, and then find the maximum area.In the following exercises, graph each function using a vertical shift. 498. g(x)=x2+4In the following exercises, graph each function using a vertical shift. 499. h(x)=x23In the following exercises, graph each function using a vertical shift. 500. f(x)=(x+1)2In the following exercises, graph each function using a horizontal shift. 501. g(x)=(x3)2In the following exercises, graph each function using a horizontal shift. 502. f(x)=(x+2)2+3In the following exercises, graph each function using a horizontal shift. 503. f(x)=(x+3)22In the following exercises, graph each function using a horizontal shift. 504. f(x)=(x1)2+4In the following exercises, graph each function using a horizontal shift. 505. f(x)=(x4)23In the following exercises, graph each function. 506. f(x)=2x2In the following exercises, graph each function. 507. f(x)=x2In the following exercises, graph each function. 508. f(x)=12x2In the following exercises, rewrite each function in the f(x)=a(xh)2+k form by completing the square. 509. f(x)=2x24x4In the following exercises, rewrite each function in the f(x)=a(xh)2+k form by completing the square. 510. f(x)=3x2+12x+8In the following, (a) rewrite each function in f(x)=a(xh)2+k form and (b) graph it by using transformations. 511. f(x)=3x26x1In the following, (a) rewrite each function in f(x)=a(xh)2+k form and (b) graph it by using transformations. 512. f(x)=2x212x5In the following, (a) rewrite each function in f(x)=a(xh)2+k form and (b) graph it by using transformations. 513. f(x)=2x2+4x+6In the following, (a) rewrite each function in f(x)=a(xh)2+k form and (b) graph it by using transformations. 514. f(x)=3x212x+7In the following, (a) rewrite each function in f(x)=a(xh)2+k form and (b) graph it by using transformations. 515. f(x)=3x212x5In the following, (a) rewrite each function in f(x)=a(xh)2+k form and (b) graph it by using transformations. 516. f(x)=2x212x+7In the following exercises, write the quadratic function in f(x)=a(xh)2+k form.In the following exercises, write the quadratic function in f(x)=a(xh)2+k form.In the following exercises, solve graphically and write the solution in interval notation. 519. x2x60In the following exercises, solve graphically and write the solution in interval notation. 520. x2+4x+30In the following exercises, solve graphically and write the solution in interval notation. 521. x2x+20In the following exercises, solve graphically and write the solution in interval notation. 522. x2+2x+30In the following exercises, solve graphically and write the solution in interval notation. 523. x26x+80In the following exercises, solve graphically and write the solution in interval notation. 524. x2+x12In the following exercises, solve graphically and write the solution in interval notation. 525. x26x+40In the following exercises, solve graphically and write the solution in interval notation. 526. 2x2+7x40In the following exercises, solve graphically and write the solution in interval notation. 527. x2+x60In the following exercises, solve graphically and write the solution in interval notation. 528. x22x+40Use the Square Root Property to solve the quadratic equation 3(w+5)2=27.Use Completing the Square to solve the quadratic equation a28a+7=23.Use the Quadratic Formula to solve the quadratic equation 2m25m+3=0 .Solve the following quadratic equations. Use any method. 532. 2x(3x2)1=0Solve the following quadratic equations. Use any method. 533. 94y23y+1=0Use the discriminant to determine the number and type of solutions of each quadratic equation. 534. 6p213p+7=0Use the discriminant to determine the number and type of solutions of each quadratic equation. 535. 3q210q+12=0Solve each equation. 536. 4x417x2+4=0Solve each equation. 537. y23+2y133=0For each parabola, find (a) which direction it opens, (b) the equation of the axis of symmetry, (c) the vertex, (d) the x- and y-intercepts, and (e) the maximum or minimum value. 538. y=3x2+6x+8For each parabola, find (a) which direction it opens, (b) the equation of the axis of symmetry, (c) the vertex, (d) the x- and y-intercepts, and (e) the maximum or minimum value. 539. y=x28x+16Graph each quadratic function intercepts, the vertex, and the equation of the axis of symmetry. 540. f(x)=x2+6x+9Graph each quadratic function intercepts, the vertex, and the equation of the axis of symmetry. 541. f(x)=2x2+8x+4In the following exercises, graph each function using transformations. 542. f(x)=(x+3)2+2In the following exercises, graph each function using transformations. 543. f(x)=x24x1In the following exercises, solve reach inequality algebraically and write any solution in interval notation. 544. x26x80In the following exercises, solve reach inequality algebraically and write any solution in interval notation. 545. 2x2+x100Model the situation with a quadratic equation and solve by any method. 546. Find two consecutive even numbers whose product is 360.Model the situation with a quadratic equation and solve by any method. 547. The length of a diagonal of a rectangle is three more than the width. The length of the rectangle is three times the width. Find the length of the diagonal. (Round to the nearest tenth.)Model the situation with a quadratic equation and solve by any method. 548. A water balloon is launched upward at the rate of 86 ft/sec. Using the formula h=16t2+86t find how long it will take the balloon to reach the maximum height, and then find the maximum height. Round to the nearest tenth.For functions f(x)=3x2 g(x)=5x+1, find (a) (fg)(x) (b) (gf)(x) (c) (fg)(x).For functions f(x)=4x3, and g(x)=6x5, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x).For function f(x)=x29, and g(x)=2x+5, find (a) (fg)(2) , (b) (gf)(3), and (c) (ff)(4).For function f(x)=x2+1, and g(x)=3x5, find (a) (fg)(1), (b) (gf)(2), and (c) (ff)(1).For each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one. {(3,6),(2,4),(1,2),(0,0),(1,2),(2,4),(3,6)} {(4,8),(2,4),(1,2),(0,0),(1,2),(2,4),(4,8)}For each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one. {(27,3),(8,2),(1,1),(0,0),(1,1)(8,2),(27,3)} {(7,3),(5,4),(8,0),(0,0),(6,4),(2,2),(1,3)}Determine (a) whether each graph is the graph of a function and, if sp, (b) whether it is one-to-one.Determine (a) whether each graph is the graph of a function and, if so, (b) whether it is one-to-one.Find the inverse of {(0,4),(1,7),(2,10),(3,13)}. Determine the domain and range of the inverse function.Find the inverse of {(1,4),(2,1),(3,0),(4,2)}. Determine the domain and range of the inverse function.Graph, on the same coordinate system, the inverse of the one-to-one function.Graph, on the same coordinate system, the inverse of the one-to-one function.Verify the functions are inverse functions. f(x)=4x3 and g(x)=x+34.Verify the functions are inverse functions. f(x)=2x+6 and g(x)=x62.Verify the inverse of the function f(x)=5x3.Verify the inverse of the function f(x)=8x+5.Verify the inverse of the function f(x)=3x25.Verify the inverse of the function f(x)=6x74.In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 1. f(x)=4x+3 and g(x)=2x+5In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 2. f(x)=3x1 and g(x)=5x3In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 3. f(x)=6x5 and g(x)=4x+1In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 4. f(x)=2x+7 and g(x)=3x4In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 5. f(x)=3x and g(x)=2x23xIn the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 6. f(x)=2x and g(x)=3x21In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 7. f(x)=2x1 and g(x)=x2+2In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 8. f(x)=4x+3 and g(x)=x24In the following exercises, find the values described. 9. For function f(x)=2x2+3 and g(x)=5x1 , find a. (fg)(2) b. (gf)(3) c. (ff)(1)In the following exercises, find the values described. 10. For the functions f(x)=5x21 and g(x)=4x1, find (a) (fg)(1) (b) (gf)(1) (c) (ff)(2)In the following exercises, find the values described. 11. For functions f(x)=2x3 and g(x)=3x2+2, find (a) (fg)(1) (b) (gf)(1) (c) (gg)(1)In the following exercises, find the values described. 12. For functions f(x)=3x3+1 and g(x)=2x23, find (a) (fg)(2) (b) (gf)(1) (c) (gg)(1)In the following exercises, determine if the set of ordered pairs represents a function and if so, is the function one-to-one. 13. {(3,9),(2,4),(1,1),(0,0),(1,1),(2,4),(3,9)}In the following exercises, determine if the set of ordered pairs represents a function and if so, is the function one-to-one. 14. {(9,3),(4,2),(1,1),(0,0)(1,1),(4,2),(9,3)}In the following exercises, determine if the set of ordered pairs represents a function and if so, is the function one-to-one. 15.{(3,5),(2,3),(1,1),(0,1),(1,3),(2,5),(3,7)}In the following exercises, determine if the set of ordered pairs represents a function and if so, is the function one-to-one. 16. {(5,3),(4,2),(3,1),(2,0),(1,1),(0,2),(1,3)}In the following exercises, determine whether each graph is the graph of a function and if so, is it one-to-one.In the following exercises, determine whether each graph is the graph of a function and if so, is it one-to-one.In the following exercises, determine whether each graph is the graph of a function and if so, is it one-to-one.In the following exercises, determine whether each graph is the graph of a function and if so, is it one-to-one.In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function. 21. {(2,1),(4,2),(6,3),(8,4)}In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function. 22. {(6,2),(9,5),(12,8),(15,11)}In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function. 23. {(0,2),(1,3),(2,7),(3,12)}In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function. 24. {(0,0),(1,1),(2,4),(3,9)}In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function. 25. {(2,3),(1,1),(0,1),(1,3)}In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function. 26. {(5,3),(4,2),(3,1),(2,0)}In the following exercises, graph on the same coordinate system, the inverse of the one-to-one function shown.In the following exercises, graph on the same coordinate system, the inverse of the one-to-one function shown.In the following exercises, graph on the same coordinate system, the inverse of the one-to-one function shown.In the following exercises, graph on the same coordinate system, the inverse of the one-to-one function shown.In the following exercises, determine whether or not the given functions are inverses. 31. f(x)=x+8 and g(x)=x8In the following exercises, determine whether or not the given functions are inverses. 32. f(x)=x9 and g(x)=x+9In the following exercises, determine whether or not the given functions are inverses. 33. f(x)=7x and g(x)=x7In the following exercises, determine whether or not the given functions are inverses. 34. f(x)=x11 and g(x)=11xIn the following exercises, determine whether or not the given functions are inverses. 35. f(x)=7x+3 and g(x)=x37In the following exercises, determine whether or not the given functions are inverses. 36. f(x)=5x4 and g(x)=x45In the following exercises, determine whether or not the given functions are inverses. 37. f(x)=x+2 and g(x)=x22In the following exercises, determine whether or not the given functions are inverses. 38. f(x)=x43 and g(x)=x3+4In the following exercises, find the inverse of each function. 39. f(x)=x12In the following exercises, find the inverse of each function. 40. f(x)=x+17In the following exercises, find the inverse of each function. 41. f(x)=9xIn the following exercises, find the inverse of each function. 42. f(x)=8xIn the following exercises, find the inverse of each function. 43. f(x)=x6In the following exercises, find the inverse of each function. 44. f(x)=x4In the following exercises, find the inverse of each function. 45. f(x)=6x7In the following exercises, find the inverse of each function. 46. f(x)=7x1In the following exercises, find the inverse of each function. 47. f(x)=2x+5In the following exercises, find the inverse of each function. 48. f(x)=5x4In the following exercises, find the inverse of each function. 49. f(x)=x2+6,x0In the following exercises, find the inverse of each function. 50. f(x)=x29,x0In the following exercises, find the inverse of each function. 51. f(x)=x34In the following exercises, find the inverse of each function. 52. f(x)=x36In the following exercises, find the inverse of each function. 53. f(x)=1x+2In the following exercises, find the inverse of each function. 54. f(x)=1x6In the following exercises, find the inverse of each function. 55. f(x)=x2,x2In the following exercises, find the inverse of each function. 56. f(x)=x+8,x8In the following exercises, find the inverse of each function. 57. f(x)=x33In the following exercises, find the inverse of each function. 58. f(x)=x+53In the following exercises, find the inverse of each function. 59. ] f(x)=9x54,x59In the following exercises, find the inverse of each function. 60. f(x)=8x34,x38In the following exercises, find the inverse of each function. 61. f(x)=3x+55In the following exercises, find the inverse of each function. 62. f(x)=4x35Explain how the graph of the inverse of a function is related to the graph of the function.Explain how to find the inverse of a function from its equation. Use an example to demonstrate the steps.Graph: f(x)=4x.Graph: g(x)=5x.Graph: f(x)=(14)x.Graph: g(x)=(15)x.On the same coordinate system, graph: f(x)=2x and g(x)=2x1.On the same coordinate system, graph: f(x)=3x and g(x)=3x+1.On the same coordinate system, graph: f(x)=3x and g(x)=3x+2.On the same coordinate system, graph: f(x)=4x and g(x)=4x2.Solve: 33x2=81.Solve: 7x3=7.Solve: ex2ex=e2.Solve: ex2ex=e6.Angela invested $15,000 in a savings account. If the interest rate is 4%, how much will be in the account in 10 years by each method of compounding? compound quarterly compound monthly compound continuouslyAllan invested $10,000 in a mutual fund. If the interest rate is 5%, how much will be in the account in 15 years by each method of compounding? compound quarterly compound monthly compound continuouslyAnother researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of a bacteria. She starts his experiment with 50 of the bacteria that grows at a rate of 15% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours?