Lesson 1.1: Relations and Functions Answers

36 verified answers
23

Check each graph below that represents a function

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
24

The graph above: one-to-one functionfunction (but not one-to-one) ✔ relation (but not a function)

A
one-to-one function
B
function (but not one-to-one)
C
✔ relation (but not a function)
25

The graph above: ✔ one-to-one functionfunction (but not one-to-one) relation (but not a function)

A
✔ one-to-one function
B
function (but not one-to-one)
C
relation (but not a function)
26

What is the independent (input) variable?✔ n, the number of necklaces$6, the shipping costc, the total cost (in dollars)

Answers:
Selection 1:n, the number of necklaces
Selection 2:c, the total cost (in dollars)
27

What is the dependent (output) variable?n, the number of necklaces$6, the shipping cost✔ c, the total cost (in dollars)

A
n, the number of necklaces
B
$6, the shipping cost
C
✔ c, the total cost (in dollars)
28

What is the domain? n>=0✔ n=0, 1, 2, 3,...all real numbers

A
n>=0
B
✔ n=0, 1, 2, 3,...
C
all real numbers
32

Explain why your relation is a function.

Answer:

My relation is a function because each student is paired with only one age. No student appears with two different ages, so every domain element matches exactly one range element.

33

Domain: The set of all states Range: The set of all senators (Remember, each state has two senators!)

Answers:
Create your own real-world example of a relation that is a function. Domain: The set of:students in a class
Range::the birth months of those students
34

Which fact(s) did you include in your explanation?

A
Every domain element is paired with only one range element.
B
No two pairs share the same domain element.
35

Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of function in your answer.

Answer:

A function has exactly one y-value for each x-value. If a vertical line intersects a graph more than once, that x-value has multiple y-values, so the graph does not represent a function.

36

Compare your response to the sample response above. What did your explanation include?

A
It describes a vertical line passing through the graph more than once.
B
It refers back to the definition of a function.

Did you find these answers helpful?