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

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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Question

Both snapshots are part of the same question.

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

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Step 1: Sketch the graph

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Step 2: Find the vertical/horizontal asymptote

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Step 3: Find critical points where relative maxima/ minima exist

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Step 4: Find relative extrema

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