y= f'(x)The graph of y= f"(x) is given above. The domain of f is [-3, 3].a) For what value(s) of x, -3

Given: The graph of y=f'(x)The domain of f is-3,3

Answered: The graph of y = f"(x) is given above.…

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The graph of y = f"(x) is given above. The domain of ƒ is [-3, 3]. a) For what value(s) of x, –3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section: Chapter Questions

Problem 26MCQ

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

y= f'(x)
The graph of y= f"(x) is given above. The domain of f is [-3, 3].
a) For what value(s) of x, -3<x< 3, is the graph of f increasing? Justify your answer.
b) For what value(s) of x, –3<x< 3, does the graph of f have a relative maximum? Justify your
answer.
c) For what value(s) of x, -3<x< 3, is the graph of f concave down? Justify your answer.
d) For what value(s) of x, –3<x < 3, does the graph of ƒ have an inflection point? Justify your
answer.
e) Use the information found above and the fact that f (-3)=0 to sketch a possible graph of f.

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