3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain: z-intercept(s): 3 18 + y-intercept(s): -3x + 18 -2-20²+3x-9. and f''(z) = 6 Use algebra to determine any intercepts of f(x). Write the intercepts as ordered pairs. 54 бæ - 54 Locate any horizontal asymptote of f(x) by using limits. Write any horizontal asymptote as an equation. Horizontal Asymptote: State the location of the vertical asymptoto of sin and uro limite to describe the
3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain: z-intercept(s): 3 18 + y-intercept(s): -3x + 18 -2-20²+3x-9. and f''(z) = 6 Use algebra to determine any intercepts of f(x). Write the intercepts as ordered pairs. 54 бæ - 54 Locate any horizontal asymptote of f(x) by using limits. Write any horizontal asymptote as an equation. Horizontal Asymptote: State the location of the vertical asymptoto of sin and uro limite to describe the
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
Related questions
Question
![Determine any local (or relative) extrema of f(x) as ordered pairs. [You may round
any values to three decimal places. If there are more answer spaces than necessary,
leave the extra spaces unanswered.]
f(x) has a local Select an answer at
f(x) has a local | Select an answer at
f(x) has a local Select an answer at
Use calculus to determine the interval(s) where f(x) is concave up and the intervals
where f(x) is concave down.
f(x) is concave up on
f(x) is concave down on
Determine any inflection points of f(x) as ordered pairs. [You may round any values
to three decimal places.]
Inflection Point (s) at:
Use your work from the previous parts to create a rough sketch of the graph of
f(x) = 2 +
-3-2/2 = 2x² +30=9 9 on your work paper. Use appropriate scale on
x
the axes. Do your best to include the important features you have found through your
analysis. Do not input anything in the answerbox below](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b638ef2-9928-44ee-907b-a6bc7b9add08%2F2a339435-b9fd-4c9a-950a-021eb001bdff%2Fcqcw0u_processed.png&w=3840&q=75)
Transcribed Image Text:Determine any local (or relative) extrema of f(x) as ordered pairs. [You may round
any values to three decimal places. If there are more answer spaces than necessary,
leave the extra spaces unanswered.]
f(x) has a local Select an answer at
f(x) has a local | Select an answer at
f(x) has a local Select an answer at
Use calculus to determine the interval(s) where f(x) is concave up and the intervals
where f(x) is concave down.
f(x) is concave up on
f(x) is concave down on
Determine any inflection points of f(x) as ordered pairs. [You may round any values
to three decimal places.]
Inflection Point (s) at:
Use your work from the previous parts to create a rough sketch of the graph of
f(x) = 2 +
-3-2/2 = 2x² +30=9 9 on your work paper. Use appropriate scale on
x
the axes. Do your best to include the important features you have found through your
analysis. Do not input anything in the answerbox below
Transcribed Image Text:3
We want to sketch the function f(x) = 2 +
x
Note that f'(x) =
State the domain of f(x).
Domain:
x-intercept(s):
y-intercept(s):
lim
x →
3 18
+
lim
=
x →
-3x+18.
Use algebra to determine any intercepts of f(x). Write the intercepts as ordered
pairs.
9
--2
f(x) =
Behavior on the right of the vertical asymptote:
2
2x + 3x9.
x
and f''(x)
Locate any horizontal asymptote of f(x) by using limits. Write any horizontal
asymptote as an equation.
Horizontal Asymptote:
f(x) is decreasing on
State the location of the vertical asymptote of f(x) and use limits to describe the
behavior of the function on each side of the asymptote.
Location of Vertical Asymptote:
Behavior on the left of the vertical asymptote:
f(x)
=
6
54
6x 54
x
Use calculus to determine the interval(s) where f(x) is increasing and the intervals
where f(x) is decreasing.
f(x) is increasing on
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Follow-up Questions
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Follow-up Question
![State the location of the vertical asymptote of f(x) and use limits to describe the
behavior of the function on each side of the asymptote.
Location of Vertical Asymptote:
Behavior on the left of the vertical asymptote:
f(x) =
lim
x →
Behavior on the right of the vertical asymptote:
lim
x →
+
f(x) =
=
Use calculus to determine the interval(s) where f(x) is increasing and the intervals
where f(x) is decreasing.
f(x) is increasing on
f(x) is decreasing on
Determine any local (or relative) extrema of f(x) as ordered pairs. [You may round
any values to three decimal places. If there are more answer spaces than necessary,
leave the extra spaces unanswered.]
f(x) has a local Select an answer #Jat
f(x) has a local Select an answer at
f(x) has a local | Select an answer Jat
Use calculus to determine the interval(s) where f(x) is concave up and the intervals
where f(x) is concave down.
f(x) is concave up on
f(x) is concave down on
Determine any inflection points of f(x) as ordered pairs. [You may round any values
to three decimal places.]
Inflection Point (s) at:
f(x) = 2 +
Use your work from the previous parts to create a rough sketch of the graph of
22
3 9
= 2² +39 on your work paper. Use appropriate scale on
x
the axes. Do your best to include the important features you have found through your
analysis. Do not input anything in the answerbox below.
11](https://content.bartleby.com/qna-images/question/3b638ef2-9928-44ee-907b-a6bc7b9add08/7d53135b-2e63-4d3d-8e2f-264eb56e4347/hhif9kl_processed.png)
Transcribed Image Text:State the location of the vertical asymptote of f(x) and use limits to describe the
behavior of the function on each side of the asymptote.
Location of Vertical Asymptote:
Behavior on the left of the vertical asymptote:
f(x) =
lim
x →
Behavior on the right of the vertical asymptote:
lim
x →
+
f(x) =
=
Use calculus to determine the interval(s) where f(x) is increasing and the intervals
where f(x) is decreasing.
f(x) is increasing on
f(x) is decreasing on
Determine any local (or relative) extrema of f(x) as ordered pairs. [You may round
any values to three decimal places. If there are more answer spaces than necessary,
leave the extra spaces unanswered.]
f(x) has a local Select an answer #Jat
f(x) has a local Select an answer at
f(x) has a local | Select an answer Jat
Use calculus to determine the interval(s) where f(x) is concave up and the intervals
where f(x) is concave down.
f(x) is concave up on
f(x) is concave down on
Determine any inflection points of f(x) as ordered pairs. [You may round any values
to three decimal places.]
Inflection Point (s) at:
f(x) = 2 +
Use your work from the previous parts to create a rough sketch of the graph of
22
3 9
= 2² +39 on your work paper. Use appropriate scale on
x
the axes. Do your best to include the important features you have found through your
analysis. Do not input anything in the answerbox below.
11
Solution
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