Identifying Domain and Range of Linear Functions

Raquel has a relation plotted on a coordinate plane. What is the range of the relation?

• {−1, 0, 1, 3}

• {−2, 1, 3}

• {−2, −1, 0, 1, 2, 3}

• {0, 1, 2, 3}

Mr. Smith graphed part of a linear function for his students.  What is the range of the part of the function shown? Select the correct answer to complete the statements.

The range is the set of all real numbers ______________ and ______________.

Kyrie graphed a linear function with a domain of all real numbers less than 5 and a range greater than 2. Which graph could represent Kyrie’s function?

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Alejandra has set of ordered pairs. 

{(−1, −4), (0, 0), (1, 4), (2, 8)}

Determine the domain and range and whether the relation is a function. 

• Domain: {−1, 0, 1, 2}, Range: {−4, 0, 4, 8}; this relation is a function

• Domain: {−1, 0, 1, 2}, Range: {−4, 0, 4, 8}; this relation is not a function

• Domain: {−4, 0, 4, 8}, Range: {−1, 0, 1, 2}; this relation is a function

• Domain: {−4, 0, 4, 8}, Range: {−1, 0, 1, 2}; this relation is not a function

Mr. Mitchell gave his students a relation on a coordinate plane. Which of the following statements is true?

• The domain is −4 ≤ x ≤ 2.

• If (−1, 6) is added to the graph it will still be a function.

• The range is −1 ≤ x ≤ 2.

• f(1) = −2

A swimming pool can be rented for $110 per hour. The pool can be rented for either 1 hour or 2 hours. If the pool is rented for x hours, the total cost can be represented by f(x) = 110x. What are the domain and range of the function for this situation?

• Domain: {1, 2}

  Range: {1, 2}

• Domain: {1, 2}

  Range: {110, 220}

• Domain: all real numbers

  Range: all real numbers

• Domain: all integers greater than or equal to zero

  Range: all integers greater than or equal to zero

What is the term for the value for which a function is defined?

• Domain

• Inequalities

• Reciprocal

• Range

What is the term for the set of all possible input values for a function?

• Domain

• Inequalities

• Reciprocal

• Range

What is the term for the set of all possible output values for a function?

• Range

• Reciprocal

• Inequalities

• Domain