Quiz about Determining Whether a Relation Is a Function

Question 1

A function where every element of the range corresponds to exactly one element of the domain. Uses horizontal line test.

Accepted Answer

one-to-one

Answer

slope-intercept form

Answer

y=mx+b

Answer

range

Question 2

The relationship between two sets of values, usually represented as ordered pairs.

Accepted Answer

Relation

Answer

Solution

Answer

Vertical line test

Answer

Function

Question 3

A method of determining whether a graph represents a function or not.

Accepted Answer

vertical line test

Answer

relation

Answer

slope-intercept form

Answer

inverse function

Question 4

A function whose graph is represented by distinct and separate values.

Accepted Answer

Discrete function

Answer

Continuous function

Answer

Domain

Answer

One-to-one

Question 5

Which is a true statement about the table?

Accepted Answer

It is a function because each input has exactly one output.

Answer

It is not a function because each output has more than one input.

Answer

It is not a function because it does not contain the origin.

Answer

It is not a function because the ratio between y and x is not constant.

Question 6

Which of the following shows y as a function of x? Choose ALL that apply.

Accepted Answer

Option D is correct

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 7

Which equation describes the function in the table?

Accepted Answer

$$y\ =\ 1.3x\ +\ 10$$

Answer

$$y\ =\ x\ +\ 10$$

Answer

$$y\ =\ 3.3x\ +\ 10$$

Answer

$$y\ =\ 1.3x$$

Question 8

Determine whether the relation is a function.

Accepted Answer

yes

Answer

no

Question 9

Determine whether the relation is a function.

Accepted Answer

yes

Answer

no

Question 10

Determine whether the relation is a function.

Accepted Answer

no

Answer

yes

Question 11

Describe and correct the error in determining whether the relation is a function.

Accepted Answer

In order for a relation to be a function, each input must be paired with exactly one output. So, the relation is a function.

Answer

In order for a relation to be a function, each output must be paired with exactly one input. So, the relation is a function.

Answer

In order for a relation to be a function, each input must be paired with more than one output. So, the relation is a function.

Question 12

Problem #6

List the ordered pairs shown in the mapping diagram.

Accepted Answer

(0, 4)

(3, 5)

(6, 6)

(9, 7)

Answer

(4, 0)

(3, 5)

(6, 6)

(7, 9)

Answer

(4, 0)

(5, 3)

(6, 6)

(7, 9)

Answer

(0, 4)

(3, 5)

(6, 6)

(7, 9)

Question 13

Problem #8

List the ordered pairs shown in the mapping diagram.

Accepted Answer

(6, -5)

(7, -5)

(8, -10)

(9, -10)

Answer

(-5, 6)

(-5, 7)

(8, -10)

(9, -10)

Answer

(-5, 6)

(7, -5)

(8, -10)

(9, -10)

Answer

(6, -5)

(-5, 7)

(8, -10)

(9, -10)

Question 14

Problem 16 b

SCUBA DIVING: The normal pressure at sea level is one atmosphere of pressure (1 ATM). As you dive below sea level, the pressure increases by 1 ATM for each 10 meters of depth.

b. Is the relation a function? Explain.

Accepted Answer

Yes, each input has exactly one output. So, the relation is a function.

Answer

Yes, each output has exactly one input. So, the relation is a function.

Answer

No, each input has exactly one output. So, the relation is a function.

Determining Whether a Relation Is a Function

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