Question

What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4?

Answer 1

@ganeshie8

Answer 2

@Sila1453

Answer 3

@Lord_Box

Answer 4

Hey

Answer 5

hi

Answer 6

Look at the graph of g(x).
Is the line falling or rising ?

Answer 7

falling

Answer 8

Yes, that means the slope is negative.

Answer 9

so probably the least

Answer 10

Other two functions seem to have a positive slope between x = 0 and x = 4. So...

Answer 11

Exactly! g(x) must be the least

Answer 12

so the answer must be B or D

Answer 13

Looks we have to calculate the average rate of change of f(x) and h(x) between x = 0 and x = 4

Answer 14

Do you know how to find the average rate of change of a function ?

Answer 15

the h(x) doesn't even have values for 0-4 i don't think

Answer 16

its in the second quadrant, a parabola

Answer 17

It's easy, just find the slope of the segment joining the respective points points

Answer 18

Lets find the average rate of change of f(x) between x = 0 and x = 4

Answer 19

ok how

Answer 20

Look at the table

when x = 0, y = ?
when x = 4, y = ?

Answer 21

o, 64

Answer 22

Yes,

(0,0) and (4, 64) are the points on the graph of f(x)

Answer 23

Find the slope

Answer 24

remember the slope formula ?

Answer 25

64/4

Answer 26

Yes, simplify

Answer 27

16

Answer 28

Good. Lets find the same for h(x)

Answer 29

how

Answer 30

h(x) = (x+4)^2 + 2

Answer 31

when x = 0, h(0) = ?

Answer 32

18

Answer 33

when x = 4, h(4) = ?

Answer 34

66

Answer 35

so (0, 18) and (4, 66) are points on the graph of h(x)

Answer 36

Find the slope

Answer 37

12

Answer 38

so g, h , f?

Answer 39

Looks good !