In Exercises 1–6, (a) state the values of a, b, and c in the given quadratic function
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–3 | –2 | –1 | 0 | 1 | 2 | 3 |
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Applied Calculus
- For Exercises 5–10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression. 2(x + h)? + 3(x + h) · 5. (2x + 3x) 3(x + h - 4(x + h) – (3x - 4x) 6. h 1 1 1 1 (x + h) – 2 7. x - 2 2(x + h) + 5 8. 2x + 5 h (x + h) – x 9. (x + h) 10. - X h harrow_forwardIn Exercises 33–38, express the function, f, in simplified form. Assume that x can be any real number. 33. f(x) = V36(x + 2)² 34. f(x) = V81(x – 2)2 35. f(x) = V32(x + 2)³ 36. f(x) = V48(x – 2)³ 37. f(x) = V3x² – 6x + 3 38. f(x) = V5x2 – 10x + 5 %3Darrow_forwardEXERCISE 6 (PSAT – 20151028 Section 4, Q9) (Calculator permitted) f(x) = x + 4(x – 3) Which of the following is an equivalent form of the expression above that displays the zeros of the function as constants or coefficients in the expression? A) f(x) = x² + 4x – 12 B) f(x) = (x – 6)(x + 2) C) f(x) = (x + 6)(x – 2) D) f(x) = (x +2)² – 16arrow_forward
- orm (Type 1) e to re-write the quadratic y = x2 - 10x + 2arrow_forward4. Write a quadratic function whose graph has a vertex of (1, 2).arrow_forwardWhich quadratic function best fits this data? 1 350 539 678 4 875 690 502 56.80x2 - 437.91r + 65.5 Activate Windo Go to Settings to act y = -56.80² +437.91r +65.5arrow_forward
- The function, f(x) = –2x² + x + 5, is in standard form. The What are the zeros of the function quadratic equation is 0 = -2x + x + 5, where a = -2, b = 1, and c = 5. The discriminate b2 – 4ac is 41. Now, complete step 5 to solve for the zeros of the quadratic function. f(x) = x + 5 – 2x2? x = -1±/4T -4 5. Solve using the quadratic formula. O x= 1±/41 -4 -b±yb²- 4ac_ x = 2a x = -1±/39 - 4 X = 1±/39 - 4arrow_forwardActivity 4 ( 1) Please provide detailed solution with explanation and justification for Each Part asap to get a upvotearrow_forwardChapter 4, Section 4.2, Question 011 Find the inflection points of f (x) = x* + x – 30xr? + 6. - Enter the exact answers in increasing order. X = X =arrow_forward
- In Exercises 1–6, find the domain and range of each functionarrow_forwardThe following table shows the per capita fish consumption, in pounds, in the Virgin Islands in 3 recent years. Fish consumption Year, x 1999,0 12.4 pounds 23.9 pounds 43.9 pounds 2004, 5 2008, 9 Fit a quadratic function f(x) = ax² + bx+c to the data. Using this function, what would you predict the per capita fish consumption to be in 2017? 125.5 pounds 124.4 124 121 ooooarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt