: n, the number of necklaces; : c, the total cost (in dollars)

C: relation (but not a function)

Answers CR - Algebra 2 26-27 - S1Relations and Functions

Relations and Functions Answers

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Selection 1:n, the number of necklaces

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

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Domain: Range:

{–1}

{–1, 2, 4, 5}

{–3, –1, 1}

{–3, –1, 1, 2, 4, 5}

less than or equal toless thangreater than or equal togreater than

less than or equal to

less than

greater than or equal to

greater than

What is the domain of the relation?

-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 0the 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 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)

n, the number of necklaces

$6, the shipping cost

c, the total cost (in dollars)

Question text not available

Answer not available

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.

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.

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

Answers:

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

Create your own real-world example of a relation that is a function. Domain: The set of:their school ID numbers

Domain: Range:

{–1}

{–1, 2, 4, 5}

{–3, –1, 1}

{–3, –1, 1, 2, 4, 5}

What is the range of the relation?

-4

-6

The mapping diagram above: ✔ functionnot a function

✔ function

not a function

Suppose that you could replace the ordered pair (1, 4) to make the relation R (shown left) into a function. Which ordered pair would work?

(1, 2)

(–1, 4)

(2, 3)

(4, 15)

f(0) =

Answer:

The graph above:

one-to-one function

function (but not one-to-one)

relation (but not a function)

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

n, the number of necklaces

$6, the shipping cost

c, the total cost (in dollars)

Use the drop downs to determine which symbols would complete the inequality for the range.

Answers:

Use the drop downs to determine which symbols would complete the inequality for the range. −2 ___(c)___ y ___(d)___ 5 (c) (d):less than or equal to

Use the drop downs to determine which symbols would complete the inequality for the range. −2 ___(c)___ y ___(d)___ 5 (c) (d):less than

Domain: Range:

{–2, –1, 0, 2, 3, 4}

{–2, –1, 0, 4}

{–2, 2, 3, 4}

less than or equal toless thangreater than or equal togreater than

less than or equal to

less than

greater than or equal to

greater than

Is the relation a function?

yes

functionnot a function

function

not a function

What is the special name of f(0)? the x-interceptthe y-intercept

the x-intercept

the y-intercept

What is the domain?

n>=0

n=0, 1, 2, 3,...

all real numbers

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.

Domain: Range:

{–2, –1, 0, 2, 3, 4}

{–2, –1, 0, 4}

{–2, 2, 3, 4}

less than or equal toless thangreater than or equal togreater than

less than or equal to

less than

greater than or equal to

greater than

The table above: function✔ not a function

function

✔ not a function

Which equation expresses the order’s total cost, c, as a function of the number of necklaces, n?n(c)=7c + 6n(c)=7c - 6c(n)=7n + 6c(n)=7n - 6

n(c)=7c + 6

n(c)=7c - 6

c(n)=7n + 6

c(n)=7n - 6

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.

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

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