Answer
The difference quotient for the given function is $0$
Work Step by Step
$f(x)=7$
Find the difference quotient $\dfrac{f(x+h)-f(x)}{h}$
Since $f(x)$ is a constant function, $f(x+h)=f(x)=7$
Substitute the known values into the formula for the difference quotient and simplify:
$\dfrac{f(x+h)-f(x)}{h}=\dfrac{7-7}{h}=\dfrac{0}{h}=0$
The difference quotient for the given function is $0$
