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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)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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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