Identifying Relations as Functions

Which graph does NOT represent y as a function of x?

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Yohan is given the following relations. Which representation shows y as a function of x?

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Carrie wrote a set of ordered pairs to show y as a function of x. 

{(−2, −4), (1, 8), (3, −1), (5, 7), (−3, 6)}

Which ordered pair would make Carrie’s set no longer a function? 

• (8, 1)

• (-4, 9)

• (3, 2)

• (4, 6)

Mr. Guillory presented his students with the following function. What is the range of the function?

• −4 ≤ x < 8

• −2 <x ≤ 7

• −4 < y ≤ 8

• −2 ≤ y < 7

Ms. Chavez gave her students a function on a coordinate plane. Determine the value of f(−3).

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

An athlete ran at a constant speed for 12 seconds. The part of the linear function shown represents the distance the athlete ran in yards, y, as a function of the time in seconds, x. Which statement is false?

• The range is 0 ≤ x ≤ 100.

• After 6 seconds, the athlete ran 50 yards.

• The domain is 0 ≤ x ≤ 100.

• The most yards the athlete ran is 100 yards.

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. Gomez told his students a relation does not need to be a function to have a domain and range. Which statement correctly demonstrates Mr. Gomez point?

• The relation {(−1, 1), (0, 2), (3, −2), (5, 2)} is not a function, but the relation has a domain of {−1, 0, 3, 5} and a range of {1, 2, −2}.

• The relation {−1, 0, 3, 5} is not a function and has no domain or range.

• The relation {(0, 1), (0, 2), (0, 3), (0, 4)} is not a function, but the relation has a domain of {1, 2, 3, 4} and a range of {0}.

• The relation {(0, 1), (0, 2), (0, 3), (0, 4)} is not a function, but the relation has a domain of {0} and a range of {1, 2, 3, 4}.

Three relations are shown in the image. Which of these relations is a function?

• A only

• A, B and C

• A and B only

• B only

• B and C only