# f(x)=6x, where underset(1)(x)=0 to underset(2)(x)=4 . Find the average rate of change of the function from underset(1)(x) to underset(2)(x)

f(x)=6x, where
$$\displaystyle{\underset{{{1}}}{{{x}}}}={0}\to{\underset{{{2}}}{{{x}}}}={4}$$
Find the average rate of change of the function from $$\displaystyle{\underset{{{1}}}{{{x}}}}\to{\underset{{{2}}}{{{x}}}}$$.

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Sally Cresswell

$$f(x)=6x$$
$$f(0)=6(0)$$
$$=0$$
and
$$f(4)=6(4)$$
$$=24$$
$$\displaystyle\frac{{{f{{\left({4}\right)}}}-{f{{\left({0}\right)}}}}}{{{4}-{0}}}=\frac{{{24}-{0}}}{{4}}$$
$$=6$$
6 is the average rate of change.