The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x) = 8(x – 2) + 1. unctions are graphed below. -1 -10

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The line tangent to the graph of g(x) = x³ – 4x + 1 at the point (2, 1) is given by the formula
L(x) = 8(x – 2) + 1.
nctions are graphed below.
10
-10
Transcribed Image Text:The line tangent to the graph of g(x) = x³ – 4x + 1 at the point (2, 1) is given by the formula L(x) = 8(x – 2) + 1. nctions are graphed below. 10 -10
-10
Which of the following statements are true? Select all that apply.
O A. The functions are approximately equal on the interval 1.9 < x < 2.1.
O B. The functions are approximately equal on the interval 0.5 < x < 1.0.
OC. The graphs intersect at the point (2, 1).
OD. The slope of the line equals g' (0).
O E. The functions have the same y-intercept.
OF. The slope of the line equals g' (2).
O G. None of the above are true.
Transcribed Image Text:-10 Which of the following statements are true? Select all that apply. O A. The functions are approximately equal on the interval 1.9 < x < 2.1. O B. The functions are approximately equal on the interval 0.5 < x < 1.0. OC. The graphs intersect at the point (2, 1). OD. The slope of the line equals g' (0). O E. The functions have the same y-intercept. OF. The slope of the line equals g' (2). O G. None of the above are true.
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