For the function, complete the following steps. X-5 f(x)= x² + 200 (a) Use a graphing calculator to graph the function in the standard viewing window. y -10 -5 10 5 -5 -10 5 10 X y y 10 + -10 -5 5 10 -5 -10 ++ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 5 10 -10 -5 10 -5 y -10 10 -10 (b) Analytically determine the location of any asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) vertical asymptotes X O

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...
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For the function, complete the following steps.
X-5
f(x)
x² + 200
(a) Use a graphing calculator to graph the function in the standard viewing window.
y
-10
- 10
-5
-5
10
horizontal asymptotes
5
-5
-10
y
10
5
-5
-10
5
5
10
10
X
X
---10
y
10
5
-5
-10
5
X
10
-10
-5
y
10
5
-5
-10
(b) Analytically determine the location of any asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)
vertical asymptotes
10
X
(i)
Transcribed Image Text:For the function, complete the following steps. X-5 f(x) x² + 200 (a) Use a graphing calculator to graph the function in the standard viewing window. y -10 - 10 -5 -5 10 horizontal asymptotes 5 -5 -10 y 10 5 -5 -10 5 5 10 10 X X ---10 y 10 5 -5 -10 5 X 10 -10 -5 y 10 5 -5 -10 (b) Analytically determine the location of any asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) vertical asymptotes 10 X (i)
(b) Analytically determine the location of any asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)
vertical asymptotes
horizontal asymptotes
Analytically determine the location of any extrema. (If an answer does not exist, enter DNE.)
relative maximum (x,y) =
relative minimum (x, y) =
(c) Graph the function in a viewing window that shows all features of the graph.
y
y
0.06
0.04
MY
0.02
-100
100
-0.02
-100
0.06
-100
0.04
0.02
y
100
200
0.02
100
200
+
0.02
-0.04/
-0.06
300
300
X
X
200
300
X
- 100
y
-0.02
-0.04
-0.06
100
200
300
X
Transcribed Image Text:(b) Analytically determine the location of any asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) vertical asymptotes horizontal asymptotes Analytically determine the location of any extrema. (If an answer does not exist, enter DNE.) relative maximum (x,y) = relative minimum (x, y) = (c) Graph the function in a viewing window that shows all features of the graph. y y 0.06 0.04 MY 0.02 -100 100 -0.02 -100 0.06 -100 0.04 0.02 y 100 200 0.02 100 200 + 0.02 -0.04/ -0.06 300 300 X X 200 300 X - 100 y -0.02 -0.04 -0.06 100 200 300 X
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