McSnowy
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What is the average rate of change for this exponential function for the interval from x = 2 to x= 4 ?

(PLEASE HELP NEED ANSWER ASAP)

What is the average rate of change for this exponential function for the interval from x 2 to x 4 PLEASE HELP NEED ANSWER ASAP class=

Respuesta :

The answer is D. 6 . This is because it is a positive slope so you can cancel out B and C and then, you count your boxes

Answer:

Option D) 6

Explanation:

As we know that average rate of change will be given by

[tex]Rate = \frac{\Delta y}{\Delta x}[/tex]

now here we know that

at x = 2 the value of y coordinate will be 4

also at x = 4 the value of y coordinate will be 16

now we know that

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Rate = \frac{16 - 4}{4 - 2}[/tex]

[tex]Rate = 6[/tex]

so rate of change of Y coordinate with respect to x coordinate will be 6

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