ANSWER
The domain of the function is
[tex] - 5 \leqslant x \leqslant 5[/tex]
EXPLANATION
The domain of the function shown in the graph refers to all real values of [tex]x[/tex]for which y is defined.
In other words, the domain of the function shown in the graph refers to all real values of [tex]x[/tex]for which there is a corresponding [tex]y[/tex]
value.
We can obtain y-values that corresponds to the x-values between -5 and 5 inclusive.
When we pick any x-values from -5 to 5, we can trace to the graph to obtain the corresponding y-values.
But if we pick any x-value outside -5 to 5, we cannot trace to the graph to obtain the corresponding y-values.
Therefore the domain of the function shown in the graph is
[tex] - 5 \leqslant x \leqslant 5[/tex]
The correct answer is option D.
