Question

Rate of change help, please!

Answer 1

For the graphed function \[f(x)=4^{x-1}+2\], calculate the average rate of change from x=2 to x=4.

Answer 2

@jim_thompson5910 , @Nnesha

Answer 3

what is f(2) and f(4) equal to?

Answer 4

Do you mean where they plug into?

Answer 5

yeah if you plugged x = 2 into f(x), what would you get?

Answer 6

6!

Answer 7

good

how about x = 4

Answer 8

66!

Answer 9

So you compute the following

\[\Large \frac{f(4)-f(2)}{4-2}\]

Answer 10

The average rate of change is basically the slope of the line through those two points

Answer 11

1?

Answer 12

Wait no. 2? That would give me 68, right?

Answer 13

\[\Large \frac{f(4)-f(2)}{4-2} = \frac{66-6}{4-2} = ??\]
I'm sure you see how to finish up

Answer 14

Ohhh got it! 30.

Answer 15

yep

Answer 16

So the ROC is 30?

Answer 17

AROC is 30, yes

Answer 18

Awesome. Thank you so much!!

Answer 19

np