Answered: Consider the function f(x) = 2x³. (a)…

Consider the function f(x) = 2x³. (a) Find f(a + h). f(a+h)-f(a) h (b) Find- (c) Find the instantaneous rate of change of f when a = 7.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 17CT

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Question

3
Consider the function f(x) = 2x³.
(a) Find f(a+h).
f(a+h)-f(a)
h
(b) Find
(c) Find the instantaneous rate of change of f when a = 7.

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Step 1: Formula

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Step 2: Finding the value of f(a+h)

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Step 3: Finding the value of (f(a+h)-f(a))/h

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Step 4: Evaluation of the instantaneous rate of change of f when a= 7

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