Question

The step function f(x) is graphed. What is the value of f(−1)?

Answer 1

Notice that the first interval [-3,-1) is closed at -3 but open at -1, which means that when the value of $x$ is between -3 and -0.999... the value of  $f(x)$ is -3; in other words the function for the first piece is:
$f(x)=-3$  ,  $3\leq x\ \textless \ -1$

The second interval [-1,1) is closed at -1 but open at 1, which means that when the value of $x$ is between -1 and 0.999.. the value of $f(x)$ is -1; in other words, the function of the second piece is:
$f(x)=-1$  , $-1 \leq x\ \textless \ 1$

We can conclude that the value of $f(-1)$ is -1.

Answer 2

-1. is the correct answer