# Chapter 1 - Section 1.3 - More on Functions and Their Graphs - Exercise Set - Page 198: 88

The difference quotient for the provided function is 0.

#### Work Step by Step

Consider the provided function: $f\left( x \right)=7$. Now, substitute $x=x+h$ in the above equation to find $f\left( x+h \right)$ That is, $f\left( x+h \right)=7$ Now, apply the difference quotient formula, \begin{align} & \frac{f\left( x+h \right)-f\left( x \right)}{h}=\frac{7-7}{h} \\ & =0 \end{align} Hence, the difference quotient for the provided function is $0$.

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