Graphing Rational Functions Answers
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1
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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 = 22
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What is the horizontal asymptote of ?
A
y = –2B
y = –1C
y = 0D
y = 13
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
4
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 = 25
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.
6
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.7
What is the horizontal asymptote of the function ?
A
y = 0B
y = 1C
y = 2D
y = 38
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
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 = 510
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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