NaazirF733727 NaazirF733727

28-10-2022
Mathematics

Answered

how does g(x)=5^x change over the interval from x=2 to x=4

Answer :

CinthyaK131967 CinthyaK131967

28-10-2022

To find the change of a function over an interval, we use the following formula.

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

Where (a, g(a)) and (b, g(b)).

So, first, we have to evaluate the function for x = 2 and x = 4.

[tex]\begin{gathered} g(2)=5^2=25 \\ g(4)=5^4=625 \end{gathered}[/tex]

Then, we use the formula.

[tex]\frac{625-25}{4-2}=\frac{600}{2}=300[/tex]

Hence, the change over the interval is 300.

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