anonymous
  • anonymous
x g(x) −2 2 −1 −3 0 2 1 17 Which of the following is a true statement for this function? The function is increasing from x = −2 to x = −1. The function is increasing from x = 0 to x = 1. The function is decreasing from x = −1 to x = 0. The function is decreasing from x = 0 to x = 1.
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I think its A
anonymous
  • anonymous
@LynFran
anonymous
  • anonymous
@Luigi0210

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More answers

anonymous
  • anonymous
it's the second one, because the output of 0=2 and the output of 1=17, so it is increasing from 0 to 1
anonymous
  • anonymous
Okay, thanks!
anonymous
  • anonymous
you're welcome :P
anonymous
  • anonymous
Water coming out from a fountain is modeled by the function f(x) = −x2 + 6x + 6 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x) from x = 2 to x = 5 represent? The water travels an average distance of 4 feet from 2 seconds to 5 seconds. The water travels an average distance of 1 foot from 2 seconds to 5 seconds. The water falls down with an average speed of 2 feet per second from 2 seconds to 5 seconds. The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds. @Nnesha
anonymous
  • anonymous
make sure to medal XD
anonymous
  • anonymous
I think the second one is D? I am just trying to check my answers ><
anonymous
  • anonymous
If D was correct then it would make A true also... i'm pretty sure XD. From 2-5 seconds it would be a total of 4 seconds so if the water it traveling at 1 foot per second for 4 seconds, it would be a total of 4 feet.
anonymous
  • anonymous
i think
Nnesha
  • Nnesha
average rate of change means slope the formula to find slope is \[\huge\rm \frac{ y_2 -y_1 }{ x_2 -x_1 }\] given x=2 x=5 you have to find f(5) and f(2) so substitute x for 5 into f(x) function to find y
Nnesha
  • Nnesha
\[\huge\rm f(x) = −x^2 + 6x + 6\] replace x with 5 and then with 2 solve let me know what you get
anonymous
  • anonymous
f(x)=61 f(x)=22
Nnesha
  • Nnesha
nope try again
Nnesha
  • Nnesha
remember it's x^2 so it would be (2)^2
anonymous
  • anonymous
So, would the number be negative? I confused now lol
Nnesha
  • Nnesha
show ur work how did you replaced x with 2 ?
anonymous
  • anonymous
f(x)=-2^2 +6 x 2 + 6?
Nnesha
  • Nnesha
yes right
anonymous
  • anonymous
So, then f(x)=-4+6 x 2 + 6?
anonymous
  • anonymous
I see, they were supposed to remain negative
Nnesha
  • Nnesha
yes right! so final answer is what
anonymous
  • anonymous
f(x)=-4 plus 12 plus 6 f(x)=8 plus 6 f(x)=14
Nnesha
  • Nnesha
yes right now replace x with 5
anonymous
  • anonymous
f(x)=-25 plus 30 plus 6 f(x) = 5 plus 6 f(x)=11
Nnesha
  • Nnesha
yes right so order pairs are ( 2,14)(5,11) now plug them into the slope formula
anonymous
  • anonymous
2^2-5^1 over 14^2 -11^1
Nnesha
  • Nnesha
ohh wait Y-2 means 2nd y not square
Nnesha
  • Nnesha
\[\huge\rm (x_1 ,y_1) (1st ~x , 1st ~y)\]
anonymous
  • anonymous
wait what
Nnesha
  • Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @gigirained 2^2-5^1 over 14^2 -11^1 \(\color{blue}{\text{End of Quote}}\) it's not 14^2
Nnesha
  • Nnesha
|dw:1441384007239:dw|
Nnesha
  • Nnesha
\[\huge\rm \frac{\color{reD}{ y_2} -y_1 }{ x_2 -x_1 }\] y_2 is just 11
anonymous
  • anonymous
Ohh okay
Nnesha
  • Nnesha
so same with x_2 and x_1 substitute
anonymous
  • anonymous
2-5 over 14 -11
anonymous
  • anonymous
?
Nnesha
  • Nnesha
x should be at the denomiantor
Nnesha
  • Nnesha
denominator *
Nnesha
  • Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @gigirained 2-5 over 14 -11 \(\color{blue}{\text{End of Quote}}\) just flip it!
anonymous
  • anonymous
Oh, alright, sorry i went to get water
Nnesha
  • Nnesha
lol
Nnesha
  • Nnesha
water is already in ur question lol solve that you will get the water
anonymous
  • anonymous
haha, nice one
anonymous
  • anonymous
so, i subtract and then divide or?
Nnesha
  • Nnesha
yes subtract then divide PEMDAS rules!
anonymous
  • anonymous
so then, 14-11=3 and 2-5=-3 3/-3=-1?
Nnesha
  • Nnesha
yes right that's average rate it's negative so water would decrease or increase ?
anonymous
  • anonymous
decrease
Nnesha
  • Nnesha
yes right !
Nnesha
  • Nnesha
falls down ugh samething
anonymous
  • anonymous
lol yea
Nnesha
  • Nnesha
alright good to go! good luck!
anonymous
  • anonymous
Thank you!
Nnesha
  • Nnesha
np!

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