Given the function f(1) = f(x + h)- f(x) Find the difference quotient f(z + h) – f(x) Find f'(x) by determining lim h-0 h Find f'(-2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1) 3x and draw the tangent lines to the graph at points whose x-coordinates Graph the function f(x) are -2 , 0, and 1.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Given the function f(z) = - 3z
f(z + h) - f(x)
Find the difference quotient
h
f(z + h) – f(x)
Find f'(x) by determining lim
h 0
h
Find f'(-2) (This slope should match the tangent line you drew above.)
Find f'(0)
Find f'(1)
3x and draw the tangent lines to the graph at points whose x-coordinates
Graph the function f(x) =
are -2 , 0, and 1.
10
8.
3.
2.
-1
-8
-10
-12
Transcribed Image Text:Given the function f(z) = - 3z f(z + h) - f(x) Find the difference quotient h f(z + h) – f(x) Find f'(x) by determining lim h 0 h Find f'(-2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1) 3x and draw the tangent lines to the graph at points whose x-coordinates Graph the function f(x) = are -2 , 0, and 1. 10 8. 3. 2. -1 -8 -10 -12
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