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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. These functions are graphed below. -1 10 Which of the following statements are true? Select all that apply. A. The slope of the line equals g'(2). B. The graphs intersect at the point (2, 1). C. The functions are approximately equal on the interval 1.9 ≤ x ≤ 2.1. D. The slope of the line equals g'(0). E. The functions are approximately equal on the interval 0.5 ≤ x ≤ 1.0. F. The functions have the same y-intercept. G. None of the above are true.

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. These functions are graphed below. -1 10 Which of the following statements are true? Select all that apply. A. The slope of the line equals g'(2). B. The graphs intersect at the point (2, 1). C. The functions are approximately equal on the interval 1.9 ≤ x ≤ 2.1. D. The slope of the line equals g'(0). E. The functions are approximately equal on the interval 0.5 ≤ x ≤ 1.0. F. The functions have the same y-intercept. G. None of the above are true.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 34E
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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. These functions are graphed below. -1 -10 10 Which of the following statements are true? Select all that apply. A. The slope of the line equals g'(2). B. The graphs intersect at the point (2, 1). C. The functions are approximately equal on the interval 1.9 ≤ x ≤ 2.1. D. The of the line equals g'(0). E. The functions are approximately equal on the interval 0.5 ≤ x ≤ 1.0. F. The functions have the same y-intercept. G. None of the above are true. 3
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. These functions are graphed below. -1 -10 10 Which of the following statements are true? Select all that apply. A. The slope of the line equals g'(2). B. The graphs intersect at the point (2, 1). C. The functions are approximately equal on the interval 1.9 ≤ x ≤ 2.1. D. The of the line equals g'(0). E. The functions are approximately equal on the interval 0.5 ≤ x ≤ 1.0. F. The functions have the same y-intercept. G. None of the above are true. 3
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