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Sketch one graph for `f(x)' that meets all of the following conditions below. Indicate the inflection points on your graph. • f{x)>0`on its entire domain `[-8,8]') `f(x)>0` on `(0, 8)' and `f(x)<0` on (' -8,0)' `f'(x) >0` on ` (-8,-4) uu (-2,8)` 'f"(x)<0`on` (-4,-2)'

Sketch one graph for `f(x)' that meets all of the following conditions below. Indicate the inflection points on your graph. • f{x)>0`on its entire domain `[-8,8]') `f(x)>0` on `(0, 8)' and `f(x)<0` on (' -8,0)' `f'(x) >0` on ` (-8,-4) uu (-2,8)` 'f"(x)<0`on` (-4,-2)'

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The following information is given about `f(x):` `f(x)' is a differentiable function defined at every real number 'x • f(3)=-2 The graph of 'f(x)`is shown below. (This is NOT `f(x)' ) 5- -6 -2 of Use the information above the answer the following: a) Find the tangent line approximation `L(x)' to `f(x)` at the point (3, -2)' b) Use the tangent line approximation from part a) to estimate the value of `f(3.1)` c) Is your estimation above or below the actual value of `f(3.1)` ? Explain by using the concavity of 'f(x)
Transcribed Image Text:The following information is given about `f(x):` `f(x)' is a differentiable function defined at every real number 'x • f(3)=-2 The graph of 'f(x)`is shown below. (This is NOT `f(x)' ) 5- -6 -2 of Use the information above the answer the following: a) Find the tangent line approximation `L(x)' to `f(x)` at the point (3, -2)' b) Use the tangent line approximation from part a) to estimate the value of `f(3.1)` c) Is your estimation above or below the actual value of `f(3.1)` ? Explain by using the concavity of 'f(x)
Sketch one graph for `f(x)` that meets all of the following conditions below. Indicate the inflection points on your graph. `f(x)>0` on its entire domain '[-8,8]) 'f(x)>0` on `(0, 8)` and `f'(x)<0` on (`-8,0)' 'f"(x) >0` on ` (-8,-4) uu (-2,8)' `f'(x)<0` on ` (-4,-2)`
Transcribed Image Text:Sketch one graph for `f(x)` that meets all of the following conditions below. Indicate the inflection points on your graph. `f(x)>0` on its entire domain '[-8,8]) 'f(x)>0` on `(0, 8)` and `f'(x)<0` on (`-8,0)' 'f"(x) >0` on ` (-8,-4) uu (-2,8)' `f'(x)<0` on ` (-4,-2)`
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