Pre-Calc/Chapter 2: Polynomial, Power, and Rational Functions/2.6 Graphs of Rational Functions/2.6.1 Asymptotes
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there are any)
f(x) = , vertical]]>
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1.0000000
0.3333333
0
true
true
abc
x = -4
Incorrect
x = 4
Incorrect
x = 7
Incorrect
x = 4, x = -4
Correct
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there are any)
f(x) = , vertical]]>
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1.0000000
0.3333333
0
true
true
abc
x = 9
Incorrect
x = 3, x = -3
Incorrect
x = -9
Incorrect
None
Correct
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there are any)
f(x) = , slant]]>
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1.0000000
0.3333333
0
true
true
abc
x = y + 6
Incorrect
None
Incorrect
y = x - 15
Correct
y = x + 10
Incorrect
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there are any)
f(x) = , horizontal]]>
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1.0000000
0.3333333
0
true
true
abc
y = -2
Incorrect
y = 4
Incorrect
None
Correct
y = 2
Incorrect
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there are any)
f(x) = , horizontal]]>
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1.0000000
0.3333333
0
true
true
abc
y = -2
Incorrect
None
Incorrect
y = 2
Incorrect
y = 1
Correct
For the given function, find all asymptotes of the type indicated (if there ...
For the given function, find all asymptotes of the type indicated (if there are any)
f(x) = , horizontal]]>
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1.0000000
0.3333333
0
true
true
abc
y = 0
Correct
y = x
Incorrect
None
Incorrect
y = 9
Incorrect
Pre-Calc/Chapter 2: Polynomial, Power, and Rational Functions/2.6 Graphs of Rational Functions/2.6.2 Analyze
Describe how the graph of the given function can be obtained by transforming ...
Describe how the graph of the given function can be obtained by transforming the graph of the reciprocal function f = 1/x.
f = ]]>
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1.0000000
0.3333333
0
true
true
abc
Shift the graph of the reciprocal function up 7 units.
Incorrect
Shift the graph of the reciprocal function down 7 units.
Incorrect
Shift the graph of the reciprocal function left 7 units.
Correct
Shift the graph of the reciprocal function right 7 units.
Incorrect
Evaluate the limit based on the graph of f shown.f
Evaluate the limit based on the graph of f shown.
f]]>
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
1.0000000
0.3333333
0
true
true
abc
∞
Correct
-5
Incorrect
0
Incorrect
-∞
Incorrect
State the domain of the rational function.f(x) =
State the domain of the rational function.
f(x) = ]]>
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1.0000000
0.3333333
0
true
true
abc
(- 1, 1) (1, ∞)]]>
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
Incorrect
(-∞, ∞)
Correct
(-9, ∞)]]>
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
Incorrect
(9, ∞)]]>
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
Incorrect
State the domain of the rational function.f(x) =
State the domain of the rational function.
f(x) = ]]>
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
1.0000000
0.3333333
0
true
true
abc
(-2, 0) (0, ∞)]]>
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
Correct
(-2, ∞)]]>
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAARAAcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9OLjxno1rpNtqct5tsbmQxRS+U53MN3GMZH3G6jtRXIWXwx13+2haanr+l6h4Htppbmx0iPSJYb+N33YWS8F0UkRfMcACBGwEyxIYuV1UfYcv7+9/K369d/lYwq+2uvZWt1vffyt0tY9KooorlNz/2Q==
Incorrect
(2, ∞)]]>
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
Incorrect
(7, ∞)]]>
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
Incorrect
State the domain of the rational function.f(x) =
State the domain of the rational function.
f(x) = ]]>
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1.0000000
0.3333333
0
true
true
abc
(- 9, 9) (9, ∞)]]>
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Incorrect
(- 11, 11) (11, ∞)]]>
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
Incorrect
(9, ∞)]]>
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Incorrect
(11, ∞)]]>
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
Correct
Use limits to describe the behavior of the rational function near the ...
Use limits to describe the behavior of the rational function near the indicated asymptote.
f(x) =
Describe the behavior of the function near its vertical asymptote.]]>
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1.0000000
0.3333333
0
true
true
abc
f(x) = -∞, f(x) = ∞]]>
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Incorrect
f(x) = -∞, f(x) = ∞]]>
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Correct
f(x) = ∞, f(x) = -∞]]>
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Incorrect
f(x) = ∞, f(x) = ∞]]>
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Incorrect