## College Algebra (6th Edition)

The difference quotient for the given function is $0$
$f(x)=7$ 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 $0$