Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
-$$f ( x ) = 2$$
A) 0
B) 1
C) $1 + \frac { 4 } { h }$
D) 2

Question

Quizplus · Accepted Answer

The function $f(x) = 2$ is a constant function, meaning its value does not change regardless of the input $x$. Therefore, both $f(x + h)$ and $f(x)$ equal 2. The difference $f(x + h) - f(x) = 2 - 2 = 0$, and dividing by $h$ (where $h \neq 0$) gives $\frac{0}{h} = 0$.

Find and Simplify the Difference Quotient f(x+h)−f(x)h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h)−f(x)​,h=0

Find and Simplify the Difference Quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$