Answer
The given statement is false. The domain of the graph is $\left[ -4,4 \right]$.
Work Step by Step
The points included in the interval are marked by black dots in the graph and those not included are marked with hollow dots.
Since all the points between -4 and 4 give a definite value of the function, they all are included in the domain of the function.
So, the domain will be
$\left[ -4,-1 \right)\cup \left[ -1,4 \right]$ or $\left[ -4,4 \right]$
Hence, the provided statement is false.
The domain of the graph will be $\left[ -4,4 \right]$.