AnswersWV-TrigonometryPre-calculus AComposition of Functions and Modeling

Comparing a Function and Its Inverse Answers

10 verified answers4 views
1
Free Preview

Students are asked to graph the inverse, f–1(x) of an absolute value function, f(x) after restricting its domain. The directions also ask that the graph include a dashed line that can be used to verify that the functions are inverses of each other.Which student’s work is correct?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
Free Preview

Consider this function.f(x) = |x – 4| + 6If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?

A
Since the domain of the original function is limited to x 6, the range of the inverse function is y ≤ 6.
Option A
B
Since the domain of the original function is limited to x 4, the range of the inverse function is y ≤ 1.
Option B
C
Since the range of the original function is limited to y 6, the domain of the inverse function is x ≥ 6.
Option C
D
Since the range of the original function is limited to y 4, the domain of the inverse function is x ≥ 1.
Option D
3

Consider the function.What is the y-intercept of f–1(x)?

Question illustration
A
–16
B
–12
C
Option
Option C
D
Option
Option D
4

Consider the tables created with Fahrenheit and Celsius temperatures. Table A represents the function that models Celsius temperature, C(F), based on the given Fahrenheit temperature, F.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which tables could be used to verify that the functions they represent are inverses of each other? Select two options.

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

A linear function and its inverse are given. Which tables could be used to verify that the functions are inverses of each other? Select two options.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
7

The cost table shows the average cost, a(x), of producing x number of earbuds.

Question illustration
A
(20, 20)
B
(52, 20)
C
(20, 52)
D
(52, 52)
8

The graph below shows two linear functions.

Question illustration
A
Neither of the lines is parallel to the line y = x; therefore, the functions are inverses of each other.
B
Neither of the lines is parallel to the line y = x; therefore, the functions are not inverses of each other.
C
The point of intersection of the two functions is not on the line y = x; therefore, the functions are inverses of each other.
D
The point of intersection of the two functions is not on the line y = x; therefore, the functions are not inverses of each other.
9

A function and its inverse are shown on the graph.

Question illustration
A
The range of both f(x) and f–1(x) is all real numbers.
B
The domain of both f(x) and f–1(x) is all real numbers.
C
The range of f(x) is y > 0 and the domain of f–1(x) is x > 0.
D
The domain of f(x) is x > 0 and the range of f–1(x) is y > 0.
10

Which answer includes a function, its inverse, and a dashed line that verifies the relationship?

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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Composition of Functions and Modeling

Quiz
10 verified answers

Solving Polynomial Equations using Technology

Quiz
15 verified answers

Unit Test

Comparing a Function and Its Inverse Answers —…