AnswersKISD SS-3391B-Algebra II Honors BGraphs of Rational Functions

Graphs of Rational Functions Answers

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A plane travels 2,000 kilometers at a speed of 900 kilometers per hour (kph) with no wind. When a tailwind is present, the plane’s speed increases by x kilometers per hour. The time it takes the plane to travel the same distance with the tailwind, t(x), is defined by the function . What is the meaning of the y-intercept for this function?

Question illustration
A
the time it takes the plane to travel without the tailwind
B
the speed of the plane when there is no tailwind present
C
the minimum amount of time it takes the plane to travel 2,000 km
D
the time it takes the plane to travel when the speed is decreased by 900 kph
3

Which statements describe the key features of the graph of ? Check all that apply.The graph has a y-intercept at –2.The graph has an x-intercept at –6.The graph has a vertical asymptote at x = 3.The graph has a vertical asymptote at x = –3.The graph has a horizontal asymptote at y = 1.

Question illustration
A
The graph has a y-intercept at –2.
B
The graph has an x-intercept at –6.
C
The graph has a vertical asymptote at x = 3.
D
The graph has a vertical asymptote at x = –3.
E
The graph has a horizontal asymptote at y = 1.
5

Question text not available

Question illustration
A
The graph of f(x) does not pass through (0, 0); therefore, f(x) has no real zeros.
B
The graph of f(x) does not cross the x-axis; therefore, f(x) has no real zeros.
C
The graph of f(x) does not cross the y-axis; therefore, f(x) has no real zeros.
D
The graph of f(x) has one or more asymptotes; therefore, f(x) has no real zeros.
6

What key features does f(x), shown in the graph, share with g(x), shown in the equation? Select three options.

Question illustration
A
at least one x-intercept
B
at least one y-intercept
C
an oblique asymptote
D
a vertical asymptote
E
the domain of x
9

Consider the function .For which intervals is f(x) positive? Check all that apply. (–∞, –3)(–3, –2)(–2, 2)(2, 3)(∞, 3)

Question illustration
A
(–∞, –3)
B
(–3, –2)
C
(–2, 2)
D
(2, 3)
E
(∞, 3)

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