anonymous
  • anonymous
Find the rate of change of the function h(x) = 4x – 3 on the interval 0 ≤ x ≤ 1. The rate of change is?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Vocaloid
  • Vocaloid
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
anonymous
  • anonymous
how do I set this up?
Vocaloid
  • Vocaloid
[h(1)-h(0)]/(1-0)

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More answers

sparrow2
  • sparrow2
first fing came to my was derivative but it doesn't need it ;)
anonymous
  • anonymous
[h(1)-h(0)]/(1-0)
anonymous
  • anonymous
was that the answer?
Vocaloid
  • Vocaloid
no, you still need to plug in h(1), h(0), and simplify the denominator...
Vocaloid
  • Vocaloid
what is h(1)?
anonymous
  • anonymous
idk im lost please explain :(
Vocaloid
  • Vocaloid
h(x) = 4x-3 so what is h(1)?
anonymous
  • anonymous
4?
Vocaloid
  • Vocaloid
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)?
anonymous
  • anonymous
idk
Vocaloid
  • Vocaloid
h(x) = 4x - 3 and x = 1 replace "x" with "1" and solve h(x) = 4x -3
anonymous
  • anonymous
so whats the answer and then explain please
Vocaloid
  • Vocaloid
x = 1 so what is 4x - 3?
anonymous
  • anonymous
the answer is 1?
Vocaloid
  • Vocaloid
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)?
anonymous
  • anonymous
4
Vocaloid
  • Vocaloid
no, please try again... x = 0 4x - 3 = ?
anonymous
  • anonymous
1
Vocaloid
  • Vocaloid
no, one more time please x = 0 4x - 3 = 4*(0) - 3 = ?
anonymous
  • anonymous
3
Vocaloid
  • Vocaloid
what is 4*0?
anonymous
  • anonymous
0
Vocaloid
  • Vocaloid
yes, so what is 4*0 - 3?
anonymous
  • anonymous
-3
Vocaloid
  • Vocaloid
good, so we know that h(0) = -3 and h(1) = 1 so, what is [h(1)-h(0)]/(1-0)?
anonymous
  • anonymous
i cant read that
Vocaloid
  • Vocaloid
|dw:1436822012814:dw| better?
Vocaloid
  • Vocaloid
evaluate the numerator first, then the denominator, then tell me what you get
anonymous
  • anonymous
1 over 1
Vocaloid
  • Vocaloid
not quite, try the numerator again... h(1) = 1 h(0) = -3 h(1)-h(0) = ?
anonymous
  • anonymous
idk
Vocaloid
  • Vocaloid
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)?
Vocaloid
  • Vocaloid
|dw:1436822235650:dw|
anonymous
  • anonymous
-3
Vocaloid
  • Vocaloid
|dw:1436822597360:dw|
Vocaloid
  • Vocaloid
what is 1-(-3)?
anonymous
  • anonymous
hey buddy whats thw anser please
anonymous
  • anonymous
then explain it
anonymous
  • anonymous
because i am really lost right now
Vocaloid
  • Vocaloid
|dw:1436823130155:dw|
Vocaloid
  • Vocaloid
our numerator is h(1) - h(0) h(1) = 1 h(0) = -3 so h(1) - h(0) = 1 - (-3) = ?
anonymous
  • anonymous
-2
Vocaloid
  • Vocaloid
1 - (-3) = 1 + 3 = ?
anonymous
  • anonymous
4
Vocaloid
  • Vocaloid
right, so we know that h(1) - h(0) = 4 now, can you tell me what this equals? |dw:1436823630938:dw|
anonymous
  • anonymous
equals -3
Vocaloid
  • Vocaloid
not quite, please try one more time... |dw:1436824260512:dw|

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