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AssignmentMultiple Choice

Introduction to Functions

Question 1 • WV-Algebra I CR

Teresa stated that the heights of the students in her class were not a function of their ages. Which reasoning could justify Teresa’s statement?

Answer
A
Two students are the same age but have different heights.
B
Two students have the same height but different ages.
C
No two students are the same age or height.

Explanation

For height to be a function of age, each age must correspond to exactly one height. If two students are the same age but have different heights, that age has more than one output, so height is not a function of age. Having the same height at different ages does not violate the definition of a function.

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