# Chapter 2 - Section 2.6 - Function Notation and Linear Functions - 2.6 Exercises: 81

$f(8)=-\dfrac{17}{2}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ Use $f(x)=-\dfrac{3}{2}x+\dfrac{7}{2}$ from Exercise $80.$ Then replace $x$ with $8$ to find $f(8).$ $\bf{\text{Solution Details:}}$ Replacing $x$ with $8$ in $f(x)=-\dfrac{3}{2}x+\dfrac{7}{2}$ results to \begin{array}{l}\require{cancel} f(x)=-\dfrac{3}{2}x+\dfrac{7}{2} \\\\ f(8)=-\dfrac{3}{2}(8)+\dfrac{7}{2} \\\\ f(8)=-\dfrac{24}{2}+\dfrac{7}{2} \\\\ f(8)=-\dfrac{17}{2} .\end{array}

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