AnswersIC Sem B Algebra 2Graphs of Rational Functions

Graphs of Rational Functions Answers

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A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new substance is equal to the liters of pure acid divided by the liters of the new substance, or . Which statement describes the meaning of the horizontal asymptote?

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A
The greater the amount of acid added to the new substance, the more rapid the increase in acid concentration.
B
The greater the amount of acid added to the new substance, the closer the acid concentration is to one-fifth.
C
As more pure acid is added, the concentration of acid approaches 0.
D
As more pure acid is added, the concentration of acid approaches 1.
4

The graph of has an oblique asymptote at y =

Question illustration
A
x + 1.
B
4x + 3.
C
6x + 11.
D
62x + 34.
5

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
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
7

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

The graph of has a horizontal asymptote at y = .

Answer not available
9

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.
10

If the graph of has an oblique asymptote at y = 3x + k, what is the value of k?

Answer not available

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