AnswersIC Sem B Algebra 2Graphs of Rational Functions

Graphs of Rational Functions Answers

0 verified answers
1
Free Preview

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
2
Free Preview

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?

Question illustration
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

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)
5

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Question text not available

Question illustration
A
f(x) has one real zero at –2 because the graph of the function has an intercept at (0, –2).
B
f(x) has two real zeros at –4 and –2 because the graph of the function has intercepts at (–4, 0) and (0, –2).
C
f(x) has no real zeros because the graph of the function does not pass through (0, 0).
D
f(x) has one real zero at –4 because the graph of the function has an intercept at (–4, 0).
7

Identify the graph of a rational function that is decreasing on the interval (–5, 5).

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

At which values of x does the graph of have a vertical asymptote? Check all that apply.–4–1124

Question illustration
A
–4
B
–1
C
1
D
2
E
4
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

How would you describe the relationship between the real zero(s) and x-intercept(s) of the function

Question illustration
A
When you set the function equal to zero, the solution is x = 1; therefore, the graph has an x-intercept of (1, 0).
B
When you set the function equal to zero, the solutions are x = 0 or x = 1; therefore, the graph has x-intercepts at (0, 0) and (1, 0).
C
When you substitute x = 0 into the function, there is no solution; therefore, the graph will not have any x-intercepts.
D
Since there are asymptotes at x = –3, x = –1, and x = 0, the graph has no x-intercepts and, therefore, no real zeros.

Did you find these answers helpful?

More from this Course

Quiz
9 verified answers

Graphs of Rational Functions

Quiz
9 verified answers

Graphs of Rational Functions

Quiz
9 verified answers

Graphs of Rational Functions