Domain and Range of Horizontal Functions

Answer.

• A

• B

• C

• D

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

All of the y values or outputs are called what?

• Domain

• Range

• Relation

• Function

Identify the domain of the following relation:

• {-6, 14, 2, 28}

• {(-6,14), (0,32), (2,38), (4,44)}

• {-6, 0, 2, 4}

• {14, 32, 38, 44}

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• : {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

DOMAIN is found by reading the ends of a graph from ___ to ___.

• Right to left

• Left to right

• Bottom to top

• Top to bottom

the set of all possible x-values

• Domain

• Range

• Interval Notation

• Inequality Notation

the set of all possible y-values

• Domain

• Range

• Interval Notation

• Inequality Notation

• A

• B

• C

• D