Question

Hal, Zelda, Maya, and Jason each recorded the height and age of five classmates. They used the data to create the tables below.

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In which student’s data can height be considered a function of age?

Answer 1

Answer: Hal

Explanation:

A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output is called function.

From the given tables, we can see that only Hal's data can height be considered a function of age because each height is is output for exact one input. No two ages have same height.

Only data represented by Hal can be said a function.

In Zelda's results

For age 12 there are two heights, 63 an d64

In Maya's results

For age 12 there are more than one heights.

In Jason's results

For age 12 there are two heights,50 and 57

Thus they cannot be said a function.

Answer 2

age is the x values and height is the y values. In order to be a function, there can be no repeating x values...they all have to be different. You can have repeating y values, just not the x ones. So look at all the x columns (ages) and u will notice that the only one that does not have any repeating x values is Hal's results....no x's are the same and it is therefore, a function.