Question

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.

Answer 1

I think its A

Answer 2

@LynFran

Answer 3

@Luigi0210

Answer 4

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

Answer 5

Okay, thanks!

Answer 6

you're welcome :P

Answer 7

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

Answer 8

make sure to medal XD

Answer 9

I think the second one is D? I am just trying to check my answers ><

Answer 10

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.

Answer 11

i think

Answer 12

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

Answer 13

\[\huge\rm f(x) = −x^2 + 6x + 6\] replace x with 5 and then with 2 solve let me know what you get

Answer 14

f(x)=61
f(x)=22

Answer 15

nope try again

Answer 16

remember it's x^2 so it would be (2)^2

Answer 17

So, would the number be negative? I confused now lol

Answer 18

show ur work how did you replaced x with 2 ?

Answer 19

f(x)=-2^2 +6 x 2 + 6?

Answer 20

yes right

Answer 21

So, then f(x)=-4+6 x 2 + 6?

Answer 22

I see, they were supposed to remain negative

Answer 23

yes right!
so final answer is what

Answer 24

f(x)=-4 plus 12 plus 6
f(x)=8 plus 6
f(x)=14

Answer 25

yes right
now replace x with 5

Answer 26

f(x)=-25 plus 30 plus 6
f(x) = 5 plus 6
f(x)=11

Answer 27

yes right so order pairs are ( 2,14)(5,11)
now plug them into the slope formula

Answer 28

2^2-5^1
over
14^2 -11^1

Answer 29

ohh wait
Y-2 means 2nd y not square

Answer 30

\[\huge\rm (x_1 ,y_1) (1st ~x , 1st ~y)\]

Answer 31

wait what

Answer 32

\(\color{blue}{\text{Originally Posted by}}\) @gigirained
2^2-5^1
over
14^2 -11^1
\(\color{blue}{\text{End of Quote}}\)

it's not 14^2