Question

Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7. my equation is f(x)=2(x+2)^2 +23

Answer 1

So, All you have to do, Is plug each x Value in to the Equation, to find their y values.

Answer 2

i did the x and y chart. for x i plugged in -4 and got 31 for y, then i did -3 for x and got 25 for y,then i did -2 for x and i got 23 for y, then -1 for x and 25 for y, then 0 for x and 31 for y. is that right?

Answer 3

the -2 and 23 are from my equation

Answer 4

For the First y Value, Its 95 For the second y value its 185.

Answer 5

so -4 id 95 and -3 is 185?

Answer 6

is

Answer 7

So you have your X's and Ys. Not theres an average rate of change formula. Its \[F(b)-f(a)\div b-a\] And Yes c:

Answer 8

4 is your A, and 7 is your B. Plug them in and you get\[185-95\div 7-4\]

Answer 9

ooooooh ok. sorry i have basically no math skills

Answer 10

so you would get 8.9?

Answer 11

Its Okay. So After you get\[90 \div 3\]

Answer 12

Which is 30 c: So your Average rate of change is 30 c:

Answer 13

ok. how did you know that it was 30? sorry im just really confused. im retaking algebra 2 so thats what this is for.

Answer 14

Because, you subtract 185 from 95, and you get 90. then you divide that by 7-4. Whis is 3. So you Divide 90 by 3, and you get 30.

Answer 15

oh ok that makes sense now lol

Answer 16

so then when i made the x,y chart; my answers were wrong?

Answer 17

Yeah, Their not completely Accurate, Just remember the formula i gave you. c:

Answer 18

so do the 185-95 divided by 7-4 for which numbers?

Answer 19

F(b)-f(a) So F(B) Stands fr the Y value of B, And your B is 7. The Y Value was 185/ The Same for F(a) Your a Was 4, and Your y value was 95. B-A. Which is 7-4. So you do 185-95/7-4.

Answer 20

ok thank you so much!