For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) 18x f(x) = x²+2 horizontal asymptotes vertical asymptotes Use information from the first derivative to sketch the graph. y

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)
18x
x² + 2
horizontal asymptotes
f(x)
vertical asymptotes
O
=
Use information from the first derivative to sketch the graph.
y
10
O
- 20
-10
-10
-10F
y
10
-5
-10F
10
10
20
20
X
X
- 20
-10
y
4
2
-4
10
20
y
4
2
+
- 20
- 10
10
20
-4
X
X
Transcribed Image Text:For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) 18x x² + 2 horizontal asymptotes f(x) vertical asymptotes O = Use information from the first derivative to sketch the graph. y 10 O - 20 -10 -10 -10F y 10 -5 -10F 10 10 20 20 X X - 20 -10 y 4 2 -4 10 20 y 4 2 + - 20 - 10 10 20 -4 X X
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