Graphing Rational Functions Answers
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1
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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 42
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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.3
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 is the horizontal asymptote of ?
A
y = –2B
y = –1C
y = 0D
y = 15
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 = 16
What are the vertical and horizontal asymptotes of ?
A
horizontal asymptote at y = 0, vertical asymptote at x = 1B
horizontal asymptote at y = 2, vertical asymptote at x = 1C
horizontal asymptote at y = 1, vertical asymptote at x = 0D
horizontal asymptote at y = 1, vertical asymptote at x = 27
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.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 = 2, and the horizontal asymptote is at y = 0.
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 1.
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = negative 2, 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 = 2, and the horizontal asymptote is at y = 3.
9
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 610
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.
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