Answered: - 1 The function f(x) = 2x + 2x has one…

- 1 The function f(x) = 2x + 2x has one local minimum and one local maximum. This function has a local maximum at a with value and a local minimum at x = with value

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section: Chapter Questions

Problem 3PT

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Question

The function f(x)=2x+2x^-1 has one local minimum and one local maximum.

- 1
The function f(x) = 2x + 2x
has one local minimum and one local maximum.
This function has a local maximum at x =
with value
and a local minimum at x =
with value

Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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