a) Graph the function f(x)=2x² + 4x b) Draw the tangent lines to the graphi t the points whose x-coordinates are -2, -1, and 0. f(x+h)-f(x) h c) Find f'(x) by determining lim h→0 d) Find f'(-2), f'(-1), and f'(0). These slopes should match those of the lines in part (b). a) Choose the correct graph below. O A. M O B. Q O C. O D.
a) Graph the function f(x)=2x² + 4x b) Draw the tangent lines to the graphi t the points whose x-coordinates are -2, -1, and 0. f(x+h)-f(x) h c) Find f'(x) by determining lim h→0 d) Find f'(-2), f'(-1), and f'(0). These slopes should match those of the lines in part (b). a) Choose the correct graph below. O A. M O B. Q O C. O D.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Transcribed Image Text:a) Graph the function f(x) = 2x² + 4x.
b) Draw the tangent lines to the graph at the points whose x-coordinates are -2, -1, and 0.
f(x+h)-f(x)
h
c) Find f'(x) by determining lim
h→0
d) Find f'(-2), f'(-1), and f'(0). These slopes should match those of the lines in part (b).
a) Choose the correct graph below.
O A.
O B.
(...)
O C.
2
P
D.
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