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Please provide explanation to all parts of the question

Please provide explanation to all parts of the question

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 36E
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Please provide explanation to all parts of the question

Part 1: Consider the function y = x²- 2x -2 a) Copy and complete the following tables of values. P and Q are points on the graph of f(x) Slope of Line PQ Slope of Line PQ P (-1, 1) (-2, 6) = -5 (-1, 1) (0, ) (-1, 1) (-1.5, 3.25) (-1, 1) (-0.5, (-1, 1) (-1.1, (-1, 1) (-0.9, (-1, 1) (-1,01, ) (-1, 1) (-0.99, (-1, 1) (-1.001, (-1, 1) (-0.999, ) b) Use your results for part a to approximate the slope of the tangent to the graph of f(x) at a point P c) Calculate the slope of the secant where the x- coordinate of Q is -1 + h d) Use your results for part c to calculate the slope of the tangent to the graph of f(x) at point P. e) Compare your answers for parts b and d.
Transcribed Image Text:Part 1: Consider the function y = x²- 2x -2 a) Copy and complete the following tables of values. P and Q are points on the graph of f(x) Slope of Line PQ Slope of Line PQ P (-1, 1) (-2, 6) = -5 (-1, 1) (0, ) (-1, 1) (-1.5, 3.25) (-1, 1) (-0.5, (-1, 1) (-1.1, (-1, 1) (-0.9, (-1, 1) (-1,01, ) (-1, 1) (-0.99, (-1, 1) (-1.001, (-1, 1) (-0.999, ) b) Use your results for part a to approximate the slope of the tangent to the graph of f(x) at a point P c) Calculate the slope of the secant where the x- coordinate of Q is -1 + h d) Use your results for part c to calculate the slope of the tangent to the graph of f(x) at point P. e) Compare your answers for parts b and d.
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