In Exercises 130–133, write the equation of a rational function
131. f has vertical asymptotes given by x = −2 and x = 2, a horizontal asymptote y = 2, y-intercept at
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
COLLEGE ALGEBRA ESSENTIALS
- sketch the graph of the function.arrow_forwarduse the letters in the equation f(x)=(x-a)^2+b, to describe how the graph is shift from the graph of f(x)=x^2 give an example with a>0 and b<0, and then sketch the functionarrow_forwardIn Exercises 73–78, the graph of f is shownin the figure. Sketch a graph of the derivative of f. To print anenlarged copy of the graph, go to MathGraphs.com.image5arrow_forward
- Sketch the graph of the functionarrow_forwardSketch the graph of f.arrow_forwardExercises 125-130: Evaluate the expression for the given function f. 125. f(a + 2) for f(x) = 3 – 4x² 126. f(a – 3) for S(x) = x² + 2x 127. f(a + h) for f(x) = x² – x + 5 128. f(a – h) for {(x) = 1 – 4x – x² 129. f(a + h) – f(a) for f(x) = 2x² + 3 130. f(a + h) – f(a) for f(x) = x – x²arrow_forward
- Exercise 3: You challenge yourself and graph the given functions on your own 1. y = 2() -3 -2 -1 3.arrow_forward6. Sketch the graph of the function f(x) = -(x - 4) (x + 1)²(x − 5). Explain your thinking.arrow_forwardIntroduction 1. Determine whether the function is even, odd, or neither a. f(x) = 5 – 3x b. f(x) = x* – x² – 1 c. f(x) = 2x³ + 3x Domain, Range and Graphing 2. Find the domain, range for f(x) = x² + 4x + 4 and graph 3. Find the domain, range for f(x) = 2x-3 5-4x and graph 4. Find the domain, range for f(x) = V9x2 – 16 and graph 5. Find the domain for f(x) = log2(x + 2) – 3 Transformation of Graph 6. Use graph of f(x) = x³ to sketch the graph of each function a. f(x) = x3 – 1 b. f(x) = (x + 2)³ +1 7. Sketch the graph for f(x) = -5sinx + 3 Composite Function 8. Solve the following set of function (please simplify): x3 + x2 + 2x f(x) = -,g(x) = 2x² + 2, h(x) = v6x +3 %3D x +1 a. (f • g)x b. (g o h)x Piecewise Defined Function 9. Find the domain, range of the set of piecewise defined function and graph h(x) = {2, x 3 10. Find the domain, range of the set of piecewise defined function and graph x< 2 x2 2 4-x, 1 + 2x, f(x) =arrow_forward
- Use calculus to sketch the graph of the function given by f(x) = ³ – x² – 6x+4. Show all steps clearly.arrow_forward6- Follow the graphing strategy and analyze the function f(x)= 3x -10x State all the pertinent information and sketch the graph of f.arrow_forwardGiven the graph of f(x) = /x as shown, graph the function – f(x) + 2. 7- 5- 4. 3- 24 +. 56기 7 6-5 -4 -3 -2 -1 123 - -2- 3- 4. -5 Clear All Draw: TIP Enter your answer by drawing on the graph Submitarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage