Question

age | height (inches)
4 | 41
5 | 44
6 | 47
7 | 49
8 | 51
9 | 54

1. a girl makes a chart of her height, in inches, each year on her birthday. she started her chart on her fourth birthday & added her height each year through her ninth birthday. the table to the left shows the data she recorded. is this relation a function? explain.

Explanation:

A relation is a function if each input (domain value) has exactly one output (range value). In the given table, each age (input) corresponds to only one height (output); there are no repeated age values with different heights.

Answer:

Yes, this relation is a function. Each age (input value) is paired with exactly one height (output value), which satisfies the definition of a function.