Graphing Rational Functions Answers
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1
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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.2
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How does the range of compare with the range of the parent function ?
A
The range of both f(x) and g(x) is all real numbersB
The range of both f(x) and g(x) is all nonzero real numbersC
The range of f(x) is all real numbers, the range of g(x) is all real numbers except 6D
The range of f(x) is all nonzero real numbers, the range of g(x) is all real numbers except 63
What is the horizontal asymptote of ?
A
y = –2B
y = –1C
y = 0D
y = 14
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 45
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).6
Which function has no horizontal asymptote?
A
f (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction
B
f (x) = StartFraction x minus 1 Over 3 x EndFraction
C
f (x) = StartFraction 2 x squared Over 3 x minus 1 EndFraction
D
f (x) = StartFraction 3 x squared Over x squared minus 1 EndFraction
7
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.
8
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 = 0, and the horizontal asymptote is at y = 1.
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 = 1, and the horizontal asymptote is at y = 0.
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 = 0.
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 = 0, and the horizontal asymptote is at y = negative 1.
9
Which statement describes the behavior of the function ?
A
The graph approaches –3 as x approaches infinity.B
The graph approaches 0 as x approaches infinity.C
The graph approaches 3 as x approaches infinity.D
The graph approaches 4 as x approaches infinity.10
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 = 1Did you find these answers helpful?
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