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Secant and Tangent Lines Suppose f is a continuous function that goes through the following points: (1, –2) (0.5, –1.5) (-0.2, –0.5) (0.3, –1.2) (-0.3, 0) (0.2, – 1.1) (-0.5, –0.5) (0.1, –1.1) (-1, –2) (-0.1, –0.8)

Secant and Tangent Lines Suppose f is a continuous function that goes through the following points: (1, –2) (0.5, –1.5) (-0.2, –0.5) (0.3, –1.2) (-0.3, 0) (0.2, – 1.1) (-0.5, –0.5) (0.1, –1.1) (-1, –2) (-0.1, –0.8)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
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 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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#3: Calculate the slope of at least 4 distinct secant lines using the given points that would reasonably approximately the slope of the tangent line at zero.
Secant and Tangent Lines Suppose f is a continuous function that goes through the following points: (1, –2) (0.5, – 1.5) (-0.2, –0.5) (0.3, –1.2) (-0.3,0) (0.2, –1.1) (-0.5, –0.5) (0.1, –1.1) (-1, –2) (-0.1, –0.8)
Transcribed Image Text:Secant and Tangent Lines Suppose f is a continuous function that goes through the following points: (1, –2) (0.5, – 1.5) (-0.2, –0.5) (0.3, –1.2) (-0.3,0) (0.2, –1.1) (-0.5, –0.5) (0.1, –1.1) (-1, –2) (-0.1, –0.8)
3. Calculate the slope of at least 4 distinct secant lines using the given points that would reasonably approximate the slope of the tangent line at 0. 4. Which of the four is the closest to the slope of the tangent line at x = 0?
Transcribed Image Text:3. Calculate the slope of at least 4 distinct secant lines using the given points that would reasonably approximate the slope of the tangent line at 0. 4. Which of the four is the closest to the slope of the tangent line at x = 0?
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