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Suppose you are given a formula for a function f. (a) How do you determine where fis increasing or decreasing? If f'(x) ? If f'? (b) How If f"(x)? If f"(x)? 0 on an interval, then f is increasing on that interval. 0 on an interval, then f is decreasing on that interval. ...: determine where the graph of f is concave upward or concave downward? 0 for all x in I, then the graph f is concave upward on I. 0 for all x in I, then the graph of f is concave downward on I. (c) How do you locate inflection points? At any value of x where the concavity does not change, we have an inflection point at (x, f(x)). At any value of x where the function changes from decreasing to increasing, we have an inflection point at (x, f(x)). O At any value of x where the concavity changes, we have an inflection point at (x, f(x)). At any value of x where f'(x) = 0, we have an inflection point at (x, f(x)). O At any value of x where the function changes from increasing to decreasing, we have an inflection point at (x, f(x)).

Suppose you are given a formula for a function f. (a) How do you determine where fis increasing or decreasing? If f'(x) ? If f'? (b) How If f"(x)? If f"(x)? 0 on an interval, then f is increasing on that interval. 0 on an interval, then f is decreasing on that interval. ...: determine where the graph of f is concave upward or concave downward? 0 for all x in I, then the graph f is concave upward on I. 0 for all x in I, then the graph of f is concave downward on I. (c) How do you locate inflection points? At any value of x where the concavity does not change, we have an inflection point at (x, f(x)). At any value of x where the function changes from decreasing to increasing, we have an inflection point at (x, f(x)). O At any value of x where the concavity changes, we have an inflection point at (x, f(x)). At any value of x where f'(x) = 0, we have an inflection point at (x, f(x)). O At any value of x where the function changes from increasing to decreasing, we have an inflection point at (x, f(x)).

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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Suppose you are given a formula for a function f. (a) How do you determine where fis increasing or decreasing? If f'(x)? 0 on an interval, then f is increasing on that interval. If f'(?0 on an interval, then f is decreasing on that interval. (b) How If f'(x)? If f"(x)? ...: determine where the graph of f is concave upward or concave downward? 0 for all x in I, then the graph of f is concave upward on I. 0 for all x in I, then the graph of f is concave downward on I. (c) How do you locate inflection points? O At any value of x where the concavity does not change, we have an inflection point at (x, f(x)). At any value of x where the function changes from decreasing to increasing, we have an inflection point at (x, f(x)). O At any value of x where the concavity changes, we have an inflection point at (x, f(x)). At any value of x where f '(x) = 0, we have an inflection point at (x, f(x)). O At any value of x where the function changes from increasing to decreasing, we have an inflection point at (x, f(x)).
Transcribed Image Text:Suppose you are given a formula for a function f. (a) How do you determine where fis increasing or decreasing? If f'(x)? 0 on an interval, then f is increasing on that interval. If f'(?0 on an interval, then f is decreasing on that interval. (b) How If f'(x)? If f"(x)? ...: determine where the graph of f is concave upward or concave downward? 0 for all x in I, then the graph of f is concave upward on I. 0 for all x in I, then the graph of f is concave downward on I. (c) How do you locate inflection points? O At any value of x where the concavity does not change, we have an inflection point at (x, f(x)). At any value of x where the function changes from decreasing to increasing, we have an inflection point at (x, f(x)). O At any value of x where the concavity changes, we have an inflection point at (x, f(x)). At any value of x where f '(x) = 0, we have an inflection point at (x, f(x)). O At any value of x where the function changes from increasing to decreasing, we have an inflection point at (x, f(x)).
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