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Let f(x) = x² - 5x. (A) Find the slope of the secant line joining (3, ƒ(3)) and (9, ƒ(9)). Slope of secant line = 7 (B) Find the slope of the secant line joining (4, ƒ(4)) and (4 + h, ƒ(4 + h)). Slope of secant line = 3 + h (C) Find the slope of the tangent line at (4, ƒ(4)). Slope of tangent line = 3 (D) Find the equation of the tangent line at (4, f(4)). y = 3x - 16

Let f(x) = x² - 5x. (A) Find the slope of the secant line joining (3, ƒ(3)) and (9, ƒ(9)). Slope of secant line = 7 (B) Find the slope of the secant line joining (4, ƒ(4)) and (4 + h, ƒ(4 + h)). Slope of secant line = 3 + h (C) Find the slope of the tangent line at (4, ƒ(4)). Slope of tangent line = 3 (D) Find the equation of the tangent line at (4, f(4)). y = 3x - 16

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter4: Graphs
Section4.6: Find The Equation Of A Line
Problem 4.135TI: Find an equation of a line that is perpendicular to the line y=1 that contains the point (5,1) ....
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Let f(x) = x² - 5x. (A) Find the slope of the secant line joining (3, ƒ(3)) and (9, ƒ(9)). Slope of secant line = 7 (B) Find the slope of the secant line joining (4, ƒ(4)) and (4 + h, ƒ(4 + h)). Slope of secant line = 3 + h (C) Find the slope of the tangent line at (4, ƒ(4)). Slope of tangent line = 3 (D) Find the equation of the tangent line at (4, f(4)). y = 3x - 16
Transcribed Image Text:Let f(x) = x² - 5x. (A) Find the slope of the secant line joining (3, ƒ(3)) and (9, ƒ(9)). Slope of secant line = 7 (B) Find the slope of the secant line joining (4, ƒ(4)) and (4 + h, ƒ(4 + h)). Slope of secant line = 3 + h (C) Find the slope of the tangent line at (4, ƒ(4)). Slope of tangent line = 3 (D) Find the equation of the tangent line at (4, f(4)). y = 3x - 16
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