Find the equation of the tangent line 7(x) to the graph of the given function at the indicated point. 2x x-1 -at (-1, 1) T(x) = Use a graphing calculator to graph the function and the tangent line. 15 10 15 10

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Find the equation of the tangent line T(x) to the graph of the given function at the indicated point.
2x
x-1
x-
T(x) =
-15
y =
Use a graphing calculator to graph the function and the tangent line.
y
15
O
at (-1, 1)
-10
10
5
-10
-15
5
10
15
-15 -10
-5
15
10
5
-5
-10
-15
5
10
15
X
-15
-10
-5
15
10
5
-5
-10]
-15I
5
10
15
-15
-10
-5
y
15
10
5
-5
-10
-15-1
5
10
15
X
Transcribed Image Text:Find the equation of the tangent line T(x) to the graph of the given function at the indicated point. 2x x-1 x- T(x) = -15 y = Use a graphing calculator to graph the function and the tangent line. y 15 O at (-1, 1) -10 10 5 -10 -15 5 10 15 -15 -10 -5 15 10 5 -5 -10 -15 5 10 15 X -15 -10 -5 15 10 5 -5 -10] -15I 5 10 15 -15 -10 -5 y 15 10 5 -5 -10 -15-1 5 10 15 X
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