Consider the graph of the function f (x) = x2 – x – 6. (a) Find the equation of the secant line joining the points (-1, -4), and (3, 0). y= (x+1)-4 (b) Use the Mean Value Theorem to determine a point c in the interval (-1, 3) such that the tangent line at c is parallel to the secant line. C = 1 (c) Find the equation of the tangent line through c.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the graph of the function f (x) = x² – x – 6 .
(a) Find the equation of the secant line joining the points (-1, -4), and (3, 0).
y= (x+1) -4
(b) Use the Mean Value Theorem to determine a point c in the interval (-1, 3) such that the tangent line at c is parallel to the secant line.
C = 1
(c) Find the equation of the tangent line through c.
Transcribed Image Text:Consider the graph of the function f (x) = x² – x – 6 . (a) Find the equation of the secant line joining the points (-1, -4), and (3, 0). y= (x+1) -4 (b) Use the Mean Value Theorem to determine a point c in the interval (-1, 3) such that the tangent line at c is parallel to the secant line. C = 1 (c) Find the equation of the tangent line through c.
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