3. Let f(x) = 2x - x². (a) Find the secant line to the graph of f passing through the points (0,0) and (1,1). 1 (b) Find the tangent line to the graph of f at x = (c) Sketch the graphs of f(x), the secant line, and tangent line on the same set of axes. -4 y to 5 4 2 + -6 x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 46E
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3. Let f(x) = 2x - x².
(a) Find the secant line to the graph of f passing through the points (0,0) and (1,1).
1
(b) Find the tangent line to the graph of f at x = 2
(c) Sketch the graphs of f(x), the secant line, and tangent line on the same set of axes.
-4
-3
-1
Y
5
2
4
-2
-4
6
2
3
A
5
x
Transcribed Image Text:3. Let f(x) = 2x - x². (a) Find the secant line to the graph of f passing through the points (0,0) and (1,1). 1 (b) Find the tangent line to the graph of f at x = 2 (c) Sketch the graphs of f(x), the secant line, and tangent line on the same set of axes. -4 -3 -1 Y 5 2 4 -2 -4 6 2 3 A 5 x
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