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A function and its graph are given. rw) - + 4x2 - 20x – 20 250 200 150 100 50 -10 -5 - 50F (a) From the graph, estimate where r"x) > 0. (Enter your answer using interval notation.) Estimate where r"(x) < 0. (Enter your answer using interval notation.) Estimate where r"x) = 0. (Enter your answers as a comma-separated list.) (b) Use (a) to decide where r(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima x = relative minima x = (c) Verify your results in parts (a) and (b) by finding rx) and f"(x) and then graphing each with a graphing utility. Find where r"x) > 0. (Enter your answer using interval notation.)

A function and its graph are given. rw) - + 4x2 - 20x – 20 250 200 150 100 50 -10 -5 - 50F (a) From the graph, estimate where r"x) > 0. (Enter your answer using interval notation.) Estimate where r"(x) < 0. (Enter your answer using interval notation.) Estimate where r"x) = 0. (Enter your answers as a comma-separated list.) (b) Use (a) to decide where r(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima x = relative minima x = (c) Verify your results in parts (a) and (b) by finding rx) and f"(x) and then graphing each with a graphing utility. Find where r"x) > 0. (Enter your answer using interval notation.)

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 54E
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A function and its graph are given. f(x) = + 4x2 - 20x – 20 y 250 200 150 100 50 - 10 -5 5 –50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) Estimate where f"(x) < 0. (Enter your answer using interval notation.) Estimate where r"(x) = 0. (Enter your answers as a comma-separated list.) (b) Use (a) to decide where f(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima relative minima (c) Verify your results in parts (a) and (b) by finding r'x) and f"(x) and then graphing each with a graphing utility. Find where f"(x) > o. (Enter your answer using interval notation.) Find where f"x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) Find where r(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima relative minima
Transcribed Image Text:A function and its graph are given. f(x) = + 4x2 - 20x – 20 y 250 200 150 100 50 - 10 -5 5 –50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) Estimate where f"(x) < 0. (Enter your answer using interval notation.) Estimate where r"(x) = 0. (Enter your answers as a comma-separated list.) (b) Use (a) to decide where f(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima relative minima (c) Verify your results in parts (a) and (b) by finding r'x) and f"(x) and then graphing each with a graphing utility. Find where f"(x) > o. (Enter your answer using interval notation.) Find where f"x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) Find where r(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima relative minima
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