Question

1. does the table below define h as a function of t? explain.

t	h
0	-4
3	7
-4	-4
1	0

Explanation:

Step1: Recall function definition

A relation is a function if for each input value (in this case values of \(t\)) there is exactly one output value (value of \(h\)).

Step2: Check input - output pairs

The input value \(t=- 4\) has two different output values: when \(t = - 4\), \(h = 0\) and when \(t=-4\), \(h=-4\).

Answer:

No, the table does not define \(h\) as a function of \(t\) because the input value \(t = - 4\) is associated with two different output values (\(h = 0\) and \(h=-4\)).