Question

Calculate the average rate of change for the given function, from x = 1 to x = 4.


X F(X)
-1 0
1 4
4 10

A. -1/2

B. 1/2

C. -2

D.2

Answer 1

use same slope formula

Answer 2

average rate of change
\(\Large = \dfrac{F(4)-F(1)}{4-1}\)

Answer 3

can you find F(4) and F(1) from the table ?

Answer 4

wait so i use slope with 4 and 1 ?

Answer 5

yes, but for numerator you will need change in 'y' or change in function F

Answer 6

F(4) is value of F(x) when x =4

Answer 7

from the table, when X=4, what does F(X) equal ?

Answer 8

wouldnt i get 1 though?

Answer 9

1 for what and how ?

Answer 10

if i did 4-1/4-1?

Answer 11

no,
is F(4) -F(1) in the numerator
not 4-1

Answer 12

F(4) is value of F(x) when x =4
from the table, when X=4, what does F(X) equal ?

Answer 13

4?

Answer 14

X F(X)
-1 0
1 4
>>> 4 10

when X = 4 , what does F(X) equal ?

Answer 15

10

Answer 16

yes
so, F(4) = 10

Answer 17

now find F(1)

Answer 18

4?

Answer 19

yes,
so F(1) =4
now plug in values in the formula

Answer 20

okay so the answer is 2 ?

Answer 21

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