5
ALMultiple Choice

Functions and Their Properties

Question 5 • TX-Pre-Calculus

Which of the following could not be true for a function?

Answer
A
Domain is {2}, Range is {2}
B
Domain is {2, 3}, Range is {2}
C
Domain is {2}, Range is {2, 3}
D
Domain is {2, 3}, Range is {2, 3}

Explanation

For a function, every value in the domain must be assigned an output, and the range consists of the outputs that are actually assigned. If the domain is {2}, there is only one input, so it can produce only one output. It cannot have the range {2, 3}, which contains two different outputs. Therefore, the domain {2} and range {2, 3} could not describe a function.

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