Relations and Functions Answers…

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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)

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f(0) =

Answer:

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

n, the number of necklaces

$6, the shipping cost

✔ c, the total cost (in dollars)

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.

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}

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)

Question text not available

Answer not available

Is the relation a function? ✔ yesX no

✔ yes

X no

functionnot a function

function

not a function

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

the x-intercept

✔ the y-intercept

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

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.

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

Answers:

Selection 1:{–2, –1, 0, 4}

Selection 2:{–2, 2, 3, 4}

✔ functionnot a function

✔ function

not a function

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.

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 - 6✔ c(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.

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