Answered: 4. Sketch a graph of a rational… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 51E

See similar textbooks

Related questions

Question

Please help on all asked questions. Pls show all work and steps. Please circle the final answer.

4. Sketch a graph of a rational function that satisfies the following conditions:
f(0)=0, f(4) = −6, f(6)=-9
f'(0) = f'(6) = 0
f'(x)<0 for x < 0 and 0 < x <6; f'(x) > 0 for x > 6
ƒ"(0) = ƒ"'(4) = 0
f"(x)<0 for 0 < x <4; ƒ''(x) > 0 for x < 0 and x>4
2
+
y
++
15-
2
10
+
6
X

Expert Solution

Step by step

Solved in 2 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

From the graph of f(x), determine the graph of f'(x). -6 -5 -4 -3 -2 -1 y 6 10. d 3 2 1 O -1 -2 -3 -4 -5 -6 2 3 5 6 X
Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A. (0,3) B. (-3,00) C. (0,00) D. (-3,3)
A function f(x) has an inflection point at (2,-2). Which of the following could NOT have been the result of the test which confirmed this? Select one alternative: f" (2) = 0, f" (0)=1, and f"(3) = −4 f" (2) = 0, f" (0) = -4, and f"(3) = 7 f" (2) = 0, f" (0) = -3, and f"(3) = 1 f" (2) = 0, f" (0) = 12, and f"(3) = 7
Suppose that f(x) and g(x) are two functions and we know that: f(-3) = 2 g(-3) = 5 f'(-3) g'(-3) Find the following: (ƒ − g)'(−3) = (g - f)'(-3) = -1 -2 == (fg)'(-3) = (4) - '(-3) = f(x) x² If k(x) = = = then k'(-3)
3. (a) Which of the following functions have 5 in their domain? f(x) = x² - 3x *- 5 h(x) = Vx - 10 9(x) =
Consider the following. f(x) = x³ = 6x² +8 (a) Find f'(x) and f"(x). f'(x) = F"(x) = (b) Graph f(x), f(x), and f"(x) with a graphing utility. y 150 100 50 XXX. -5 -50 -100 -150 x = -5 y 150 100 x = 50 -50 -100 -150 (c) Identify x-values where f"(x) = 0. (Enter your answers as a comma-separated list.) 5 Identify x-values where F"(x) > 0. (Enter your answer using interval notation.) Identify x-values where f"(x) < 0. (Enter your answer using interval notation.) (d) Identify x-values where f'(x) has a maximum point or a minimum point. (Enter your answers as a comma-separated list.) Identify x-values where f'(x) is increasing. (Enter your answer using interval notation.) Identify x-values where f'(x) is decreasing. (Enter your answer using interval notation.) -5 y 150 100 50 -50 -100 -150 DO -5 y 150 1000 50 -50 -100 -150 X
4. (8 points) Find the slope of the line tangent to the graph of 1 f (x) = 2x* – = 32x3 + 17x2 – 9x + 4 at x - - 2
☐ ☐ 4. The figure below shows the graphs of f(x), f'(x), and f" (x). Identify each curve. -2- W --2- black blue orange ☐ black blue orange Choices f(x) f'(x) f"(x) f" (x) ☐ 5. The figure below shows the graphs of f(x), ƒ'(x), and ƒ"(x). Identify each curve. --2 2 Choices f(x) f'(x) ƒ"(x)
Given the function below 2x² - 18 x+3 f(x) = 3 x³ – 2/2 972 a) Differentiate the function f(x) = 3 x³ – 2/ ƒ'(x) = CH Th x² − 18 x + 3.
1. (a) For the function f(x)=x* - x² (whose %3| | graph is shown) use the power rule to take derivatives and find f'(x), f"(x) and f"(x). -5- -5 (b) Graph all four functions together on a graphing utility (like Desmos) and then sketch all the functions --5- on the same axes at right. Make sure that horizontal tangents of each function line up with x-intercepts of its derivative (that's what l'll be checking for).
Use the graphs of f and g. Let p(x) = f (x)g(x) and q(x) = f (x)/g(x).
4. Using the first derivative test to find the location of the local maxima of the following function and using graphing to confirm your results. fa) =- 3r - 9x -1

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS