Answer
The value of the given expression is\[-3\].
Work Step by Step
Consider the expression:
$\sqrt{f\left( -2.5 \right)-f\left( 1.9 \right)}-{{\left[ f\left( -\pi \right) \right]}^{2}}+f\left( -3 \right)\div f\left( 1 \right)f\left( \pi \right)$
Calculate the value of the above expression using the graph as below:
$\begin{align}
& \left[ \sqrt{f\left( -2.5 \right)-f\left( 1.9 \right)}-{{\left[ f\left( -\pi \right) \right]}^{2}}+f\left( -3 \right)\div f\left( 1 \right)f\left( \pi \right) \right]=\left[ \sqrt{2-\left( -2 \right)}-{{\left( 3 \right)}^{2}}+2\div \left( -2 \right)\left( -4 \right) \right] \\
& =\left[ \sqrt{4}-9+\left( -1 \right)\left( -4 \right) \right] \\
& =2-9+4 \\
& =-3
\end{align}$
The value of the given expression is $-3$.
