Refer to the graph of y=f(x)=x2+x shown. a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2+h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)).
Refer to the graph of y=f(x)=x2+x shown. a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2+h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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Refer to the graph of y=f(x)=x2+x shown.
a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)).
b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2+h)).
c) Find the slope of the graph at (2, f(2)).
d) Find the equation of the tangent line to the graph at (2, f(2)).
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