X5. Consider the function f(x)=x²+2x-1, whose only zeros are x = -2.1 and x = 0.7.Find the critical points of f(x).a.b. Indicate where the function f(x) is increasing or decreasing.c. Classify the local extreme values (max or min).d. Indicate where the function f(x) is concave up or concave down.e.f4Find all inflection points.Give a rough sketch of the graph of f(x) indicating all of these features.x Gauthmath

Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

5. Consider the function f(x)=x+2x-1, whose only zeros are x = -2.1 and x 0.7. a. Find the critical points of f(x). b. Indicate where the function f(x) is increasing or decreasing. c. Classify the local extreme values (max or min). concave down.

5. Consider the function f(x)=x+2x-1, whose only zeros are x = -2.1 and x 0.7. a. Find the critical points of f(x). b. Indicate where the function f(x) is increasing or decreasing. c. Classify the local extreme values (max or min). concave down.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

X
5. Consider the function f(x)=x²+2x-1, whose only zeros are x = -2.1 and x = 0.7.
Find the critical points of f(x).
a.
b. Indicate where the function f(x) is increasing or decreasing.
c. Classify the local extreme values (max or min).
d. Indicate where the function f(x) is concave up or concave down.
e.
f
4
Find all inflection points.
Give a rough sketch of the graph of f(x) indicating all of these features.
x Gauthmath

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Step 1: Define the problem

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Step 2: Calculate the derivative of function

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Step 3: Calculate the critical values of f(x)

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Step 4: Calculate the sign table for f'(x)

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Step 5: Calculate the intervals where function increasing and decreasing

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Step 6: Calculate the local extreme values

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