2
QuizMultiple Choice

Understand Functions

Question 2 • EF Math 12 1st Nine Weeks

The weights and heights of six mathematics students are given in the following table: Weight (in pounds) Height (in centimeters) 165 172 123 157 212 183 175 178 165 163 147 167 State whether height is a function of weight for the six students and explain.

Answer
A
Yes, height is a function of weight because two students weigh 165 pounds but have different heights.
B
No, height is not a function of weight because two students weigh 165 pounds but have different heights.
C
Yes, height is a function of weight because for each weight there is a corresponding height.
D
No, height is not a function of weight because there is not enough data to determine a function.

Explanation

A relation is a function when each input has exactly one output. Here, the weight 165 pounds is paired with two different heights, 172 cm and 163 cm. Therefore, height is not a function of weight, so the correct choice is “No, height is not a function of weight because two students weigh 165 pounds but have different heights.”

AI-written and checked against the verified answer.

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