Relations and Functions Answers

35 verified answers4 views
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

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.
34

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:

If a vertical line intersects a graph more than once, then the graph has more than one y-value for a given x-value. By definition, a function can have only one y-value for each x-value, so the graph does not represent a function.

35

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.

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