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Find the average rate of change of $g(x) = 20$ between $x = -3$ and $x = -3 + h$ , where $h \neq 0$ . $\newline$ Simplify your answer. Your answer may be a number or an expression in terms of $h$ .

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Average rate of change I

Full solution

Q. Find the average rate of change of

g(x) = 20

between

x = -3

and

x = -3 + h

, where

h \neq 0

.

\newline

Simplify your answer. Your answer may be a number or an expression in terms of

h

.

Calculate $g(x)$ : Calculate the value of $g(x)$ at the initial and final points. $\newline$ $g(-3) = 20$ $\newline$ $g(-3 + h) = 20$
Use average rate of change formula: Use the formula for average rate of change: $(g(b) - g(a)) / (b - a)$ , where $a = -3$ and $b = -3 + h$ . $\newline$ Average rate of change = $(g(-3 + h) - g(-3)) / ((-3 + h) - (-3))$ $\newline$ = $(20 - 20) / (h)$ $\newline$ = $0 / h$ $\newline$ = $0$

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