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?

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?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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Question

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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