8. On a graph of f(x) = x², (a) draw the tangent line to the graph of f at the point (2, f(2)); (b) draw the secant line from (2, f(2)) to (2.75, f(2.75)); (c) draw the secant line from (1.75, f(1.75)) to (2,f(2)). (d) Which secant line is a better approximation to the tangent line, and why?

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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8. On a graph of f(x) = x²,
(a) draw the tangent line to the graph of f at the point
(2, f(2));
(b) draw the secant line from (2, f(2)) to (2.75, f(2.75));
(c) draw the secant line from (1.75, f(1.75)) to (2,f(2)).
(d) Which secant line is a better approximation to the
tangent line, and why?
Transcribed Image Text:8. On a graph of f(x) = x², (a) draw the tangent line to the graph of f at the point (2, f(2)); (b) draw the secant line from (2, f(2)) to (2.75, f(2.75)); (c) draw the secant line from (1.75, f(1.75)) to (2,f(2)). (d) Which secant line is a better approximation to the tangent line, and why?
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