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Find the average rate of change for the function f(x) = 3^x + 4
Using the intervals of x=2 to x=5
Show ALL your work to receive credit

Respuesta :

Answer:

78

Step-by-step explanation:

You use the formula

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

with a=2 and b=5 plug it in to the formula

[tex] \frac{f(5) - f(2)}{5 - 2} [/tex]

find the values

[tex]f(5) = {3}^{5} + 4 = 247 [/tex]

[tex]f(2) = {3}^{2 } + 4 = 13[/tex]

put it all together

[tex] \frac{247 - 13}{5 - 2} = \frac{234}{3} = 78[/tex]

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