# Chapter 1 - Section 1.3 - More on Functions and Their Graphs - Exercise Set - Page 198: 94

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 $-3$.

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