Question

Find the rate of change of the function h(x) = 4x – 3 on the interval 0 ≤ x ≤ 1.

The rate of change is?

Answer 1

rate of change from x = A to x = B for h(x) is
[h(B)-h(A)]/(B-A)

let B = 1 and A = 0, then evaluate the expression

Answer 2

how do I set this up?

Answer 3

[h(1)-h(0)]/(1-0)

Answer 4

first fing came to my was derivative but it doesn't need it ;)

Answer 5

[h(1)-h(0)]/(1-0)

Answer 6

was that the answer?

Answer 7

no, you still need to plug in h(1), h(0), and simplify the denominator...

Answer 8

what is h(1)?

Answer 9

idk im lost please explain :(

Answer 10

h(x) = 4x-3
so what is h(1)?

Answer 11

4?

Answer 12

no, please try again
h(1) means let x = 1 and calculate h(x)

if
h(x) = 4x - 3
and
x = 1
then what is h(x)?

Answer 13

idk

Answer 14

h(x) = 4x - 3
and
x = 1

replace "x" with "1" and solve h(x) = 4x -3

Answer 15

so whats the answer and then explain please

Answer 16

x = 1
so what is 4x - 3?

Answer 17

the answer is 1?

Answer 18

right, 4x - 3 = 1 when x = 1
BUT we are not done yet

h(1) = 1, since h(x) = 1 when x = 1

now, we need to find h(0)

if x = 0, and h(x) = 4x - 3, then what is h(x)?

Answer 19

4

Answer 20

no, please try again...
x = 0
4x - 3 = ?

Answer 21

1

Answer 22

no, one more time please

x = 0
4x - 3 = 4*(0) - 3 = ?

Answer 23

3

Answer 24

what is 4*0?

Answer 25

0

Answer 26

yes, so what is 4*0 - 3?

Answer 27

-3

Answer 28

good, so we know that h(0) = -3 and h(1) = 1

so, what is [h(1)-h(0)]/(1-0)?

Answer 29

i cant read that

Answer 30

better?

Answer 31

evaluate the numerator first, then the denominator, then tell me what you get

Answer 32

1 over 1

Answer 33

not quite, try the numerator again...

h(1) = 1
h(0) = -3
h(1)-h(0) = ?

Answer 34

idk

Answer 35

we know that

h(1) = 1 and h(0) = -3

replace "h(1)" with 1 and "h(0)" with -3

what is h(1)-h(0)?

Answer 36

-3

Answer 37

what is 1-(-3)?

Answer 38

hey buddy whats thw anser please

Answer 39

then explain it

Answer 40

because i am really lost right now

Answer 41

our numerator is h(1) - h(0)
h(1) = 1
h(0) = -3

so h(1) - h(0) = 1 - (-3) = ?

Answer 42

-2

Answer 43

1 - (-3) = 1 + 3 = ?

Answer 44

4

Answer 45

right, so we know that h(1) - h(0) = 4
now, can you tell me what this equals?

Answer 46

equals -3

Answer 47

not quite, please try one more time...