Let f(x) = x² - 4x. (A) Find the slope of the secant line joining (1, f(1)) and (7, f(7)). Slope of secant line = (B) Find the slope of the secant line joining (4, f(4)) and (4+h, f(4+ h)). Slope of secant line = (C) Find the slope of the tangent line at (4, ƒ(4)). Slope of tangent line = (D) Find the equation of the tangent line at (4, f(4)). FI

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Let f(x) = x² − 4x.
(A) Find the slope of the secant line joining (1, ƒ(1)) and (7, ƒ(7)).
Slope of secant line =
(B) Find the slope of the secant line joining (4, f(4)) and (4+h, f(4 + h)).
Slope of secant line =
(C) Find the slope of the tangent line at (4, ƒ(4)).
Slope of tangent line =
(D) Find the equation of the tangent line at (4, ƒ(4)).
y =
=
A
←
F
ID
Transcribed Image Text:Let f(x) = x² − 4x. (A) Find the slope of the secant line joining (1, ƒ(1)) and (7, ƒ(7)). Slope of secant line = (B) Find the slope of the secant line joining (4, f(4)) and (4+h, f(4 + h)). Slope of secant line = (C) Find the slope of the tangent line at (4, ƒ(4)). Slope of tangent line = (D) Find the equation of the tangent line at (4, ƒ(4)). y = = A ← F ID
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