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Let
f(x)=18. Calculate the following values:

{:[f(a)=],[f(a+h)=],[(f(a+h)-f(a))/(h)=]:}

◻ for
h!=0

Let $f(x)=18$ . Calculate the following values: $\newline$ $\begin{array}{l} f(a)= \\ f(a+h)= \\ \frac{f(a+h)-f(a)}{h}= \end{array}$ $\newline$ $\square$ for $h \neq 0$

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Full solution

Q. Let

f(x)=18

. Calculate the following values:

\newline

\begin{array}{l} f(a)= \\ f(a+h)= \\ \frac{f(a+h)-f(a)}{h}= \end{array}

\newline

\square

for

h \neq 0

Given $f(x) = 18$ : Given $f(x) = 18$ , which is a constant function, so $f(a)$ will also be $18$ . $\newline$ $f(a) = 18$
Constant function: Since $f(x)$ is constant, $f(a+h)$ will also be $18$ regardless of the value of $h$ (as long as $h$ is not zero). $\newline$ $f(a+h) = 18$
Calculate difference quotient: Now, calculate the difference quotient $(f(a+h)-f(a))/h$ . $(f(a+h)-f(a))/h = (18-18)/h$ $(f(a+h)-f(a))/h = 0/h$ $(f(a+h)-f(a))/h = 0$

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