Graphing Rational Functions Answers
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1
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Which graph represents the function ?
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = negative 4.
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = negative 4.
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 4.
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
2
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What is the domain of the function ?
A
all real numbersB
all real numbers except –1C
all real numbers except –4 and –2D
all real numbers except 2 and 43
What are the vertical and horizontal asymptotes for the function ?
A
horizontal asymptote: y = –2, y = 2vertical asymptote: x = 3B
horizontal asymptote: y = –4, y = 1vertical asymptote: x = 3C
horizontal asymptote: y = 3vertical asymptote: x = –4, x = 1D
horizontal asymptote: y = 3vertical asymptote: x = –2, x = 24
What are the equations of the asymptotes of the graph of the function ?
A
x = –5, x = 2 and y = 3B
x = –2, x = 5 and y = 3C
x = 3, y = –5, and y = 2D
x = 3, y = –2, and y = 55
What is the horizontal asymptote of the function ?
A
y = 0B
y = 1C
y = 2D
y = 36
What is the horizontal asymptote of ?
A
y = –2B
y = –1C
y = 0D
y = 17
How does the graph of compare to the graph of the parent function ?
A
g(x) is shifted 5 units left and 2 units up from f(x).B
g(x) is shifted 5 units right and 2 units up from f(x).C
g(x) is shifted 5 units left and 2 units down from f(x).D
g(x) is shifted 5 units right and 2 units down from f(x).8
Which statement describes the behavior of the function ?
A
The graph approaches –2 as x approaches infinity.B
The graph approaches 0 as x approaches infinity.C
The graph approaches 1 as x approaches infinity.D
The graph approaches 2 as x approaches infinity.9
Which statement describes the domain of the function ?
A
all real numbersB
all nonzero real numbersC
all real numbers except x =
D
all real numbers except x = –1 and x = 110
What is the domain of ?
A
all real numbersB
all nonzero numbersC
all real numbers except 1D
all real numbers except 3Did you find these answers helpful?
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