Relations and Functions Answers

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Domain: {–1}{–1, 2, 4, 5}✔ {–3, –1, 1}{–3, –1, 1, 2, 4, 5}

{–1}

{–1, 2, 4, 5}

{–3, –1, 1}

{–3, –1, 1, 2, 4, 5}

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Range: {–1}✔ {–1, 2, 4, 5}{–3, –1, 1}{–3, –1, 1, 2, 4, 5}

{–1}

{–1, 2, 4, 5}

{–3, –1, 1}

{–3, –1, 1, 2, 4, 5}

Domain: {–2, –1, 0, 2, 3, 4}✔ {–2, –1, 0, 4}{–2, 2, 3, 4}

{–2, –1, 0, 2, 3, 4}

{–2, –1, 0, 4}

{–2, 2, 3, 4}

Range: {–2, –1, 0, 2, 3, 4}{–2, –1, 0, 4}✔ {–2, 2, 3, 4}

{–2, –1, 0, 2, 3, 4}

{–2, –1, 0, 4}

{–2, 2, 3, 4}

Which expression means “the total cost, including shipping, of 5 necklaces”? n(5)✔ c(5)c(5)+6

n(5)

✔ c(5)

c(5)+6

−4 ___(a)___ x ___(b)___ 4 (a) (b)

Answers:

Selection 1:less than or equal to

Selection 2:less than

What is the domain of the relation? -64✔ -46

-6

✔ -4

The set of ordered pairs above: ✔ functionnot a function

✔ function

not a function

Which ordered pairs prevent this relation from being a function?

(1, 4) and (1, 3), because they have the same x-value

(1, 3) and (–1, 3), because they have the same y-value

What does the notation f(0) mean? Multiply f by 0✔ the output (y-value) when x = 0the value of x when the output is 0

Multiply f by 0

✔ the output (y-value) when x = 0

the value of x when the output is 0

Check each graph below that represents a function

Option

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

one-to-one function

function (but not one-to-one)

✔ relation (but not a function)

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)

Question text not available

Answers:

Selection 1:n, the number of necklaces

Selection 2:c, the total cost (in dollars)

This relation is ✔ not a functiona function.

✔ not a function

a function

Create your own real-world example of a relation that is a function. Domain: The set of Range: The set of

Answer:

PENDING

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

Every domain element is paired with only one range element.

No two pairs share the same domain element.

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. You can't have two y-values for an x-value in a function. Therefore, the graph is not a function. Compare your response to the sample response above. What did your explanation include?It describes a vertical line passing through the graph more than once.It refers back to the definition of a function.

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

It describes a vertical line passing through the graph more than once.

It refers back to the definition of a function.

less than or equal to✔ less thangreater than or equal togreater than

Answer not available

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