7- (a) If a is a constant and cannot be equal to 0, find the critical points of f(x) = 3a + 6x (b) Use the second-derivative test to show that if a is positive, the graph has a local minimum, and if a is negative, the graph has a local maximum.

7- (a) If a is a constant and cannot be equal to 0, find the critical points of f(x) = 3a + 6x (b) Use the second-derivative test to show that if a is positive, the graph has a local minimum, and if a is negative, the graph has a local maximum.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.4: Combining And Decomposing Functions

Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...

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Question

7-
(a) If a is a constant and cannot be equal to 0, find the critical points of f(x) = 3 + 6x
(b) Use the second-derivative test to show that if a is positive, the graph has a local minimum,
and if a is negative, the graph has a local maximum.

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