Question

All points of the step function f(x) are graphed.

What is the domain of f(x)?

Answer 1

your answer is the first option -4<x<_4

Answer 2

`\left \-4<x\leq 4 \right \`

First option is correct.

Explanation:

Domain is the set of x values for which the function is defined.

Hence, in order to find the domain, we see at which x values the graph originates and at which value of x the graph terminates.

The piece wise function is graphed between the values -4 and 4.

There is a hole at x = -4 hence, we'll not include this point in domain.

There is a solid circle at x = 4 hence, we'll include this point in domain.

Therefore, the domain of f(x) is

`\left \ x`

First option is correct.