Consider the graph of the function f (x) = x2 – x - 72. (a) Find the equation of the secant line joining the points (-7, –16), and (9, 0). (b) Use the Mean Value Theorem to determine a point c in the interval (-7, 9) such that the tangent line at c is parallel to the secant line. C = (c) Find the equation of the tangent line through c. (d) Use a graphing utility to graph f, the secant line, and the tangent line. 20 y 20 y -60 -20 20 40 60 60 -20 20 40 60 -40 -40 -60 -60 -80 -80 20 y 2o y -60 -40 -20 20 40 60 -60 -40 -20 20 40 60 -60

Consider the graph of the function f (x) = x2 – x - 72. (a) Find the equation of the secant line joining the points (-7, –16), and (9, 0). (b) Use the Mean Value Theorem to determine a point c in the interval (-7, 9) such that the tangent line at c is parallel to the secant line. C = (c) Find the equation of the tangent line through c. (d) Use a graphing utility to graph f, the secant line, and the tangent line. 20 y 20 y -60 -20 20 40 60 60 -20 20 40 60 -40 -40 -60 -60 -80 -80 20 y 2o y -60 -40 -20 20 40 60 -60 -40 -20 20 40 60 -60

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Description: Consider the graph of the function f (x) = x2 – x - 72.(a) Find the equation of the secant line joining the points (-7, –16), and (9, 0).(b) Use the Mean Value Theorem to determine a point c in the interval (-7, 9) such that the tangent line at c is

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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