Find the equation of the tangent line T(x) to the graph of the given function at the indicated point. y = 2x at (-1, 1) x - 1 T(x) = x+ 2y =1 x Use a graphing calculator to graph the function and the tangent line. y y 15| 15 10 10 5- 5 X -15 -10 10 15 -15 -10 -5 10 15 -5 -5 -10 -10 -15 -15| y y 15 15 10 10 5 5 X -15 10 10 15 -15 -10 -5 5 10 15 -5 -5 -10 - 10 -15 - 15||

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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Question
Find the equation of the tangent line T(x) to the graph of the given function at the indicated point.
2x
at (-1, 1)
y =
X - 1
T(x) = x + 2y= 1
Use a graphing calculator to graph the function and the tangent line.
y
y
15
15
10
10
5
5
-15
10
5.
5
10
15
-15
- 10
-5
10
15
-5
- 10
-10
-15|
-15||
y
y
15|
15
10
10
-15
-10
5
10
15
-15
- 10
-5
5
10
15
-5
- 10
- 10
-15|
- 15F|
Transcribed Image Text:Find the equation of the tangent line T(x) to the graph of the given function at the indicated point. 2x at (-1, 1) y = X - 1 T(x) = x + 2y= 1 Use a graphing calculator to graph the function and the tangent line. y y 15 15 10 10 5 5 -15 10 5. 5 10 15 -15 - 10 -5 10 15 -5 - 10 -10 -15| -15|| y y 15| 15 10 10 -15 -10 5 10 15 -15 - 10 -5 5 10 15 -5 - 10 - 10 -15| - 15F|
Expert Solution
Step 1

Given,

y= 2x/(x-1)

By differentiating we get the slope of tangent.

 

steps

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