Answer
The given statement is true.
Work Step by Step
Let us consider the equation $f\left( -1 \right)-f\left( 4 \right)=2$.
Substitute the values of the function at $x=-1$ and $x=4$ in the above equation.
We can see from the graph that at $x=-1,$ the value of the function is 1 and at $x=4$, the value of the function is -1.
So,
$\begin{align}
& f\left( -1 \right)-f\left( 4 \right)=1-\left( -1 \right) \\
& =2
\end{align}$
Hence, the provided statement is true.
