Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = x² – 3x + 2, at x = 4 3. f(x) = -2x + 5x – 1, at x = 1

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 6E
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PLEASE ANSWER 1,2,3,4,5 SUB-PARTS

Activity 1.
Slope of the Tangent
The rate of change at any point on a function is the slope of the tangent line through the point. Find the slope
of the tangent line.
To do this, find the derivative of the function. Next, evaluate the derivative at the specified value of x. The
result is the slope of the tangent line.
Try this on your own.
Find the rate of change of the function at a given value.
1. f(x) = 2x – 3, at x = 5
2. f(x) — х2 — Зх + 2, at x %3 4
3. f(x) = -2x + 5x – 1, at x = 1
4. f(x) = 3x³ – 1, at x = 2
5. f(x) %3D 4 — Зх, at x %3D — 1
Transcribed Image Text:Activity 1. Slope of the Tangent The rate of change at any point on a function is the slope of the tangent line through the point. Find the slope of the tangent line. To do this, find the derivative of the function. Next, evaluate the derivative at the specified value of x. The result is the slope of the tangent line. Try this on your own. Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) — х2 — Зх + 2, at x %3 4 3. f(x) = -2x + 5x – 1, at x = 1 4. f(x) = 3x³ – 1, at x = 2 5. f(x) %3D 4 — Зх, at x %3D — 1
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