Question

Water coming out of 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?

Answer 1

@xhikari

Answer 2

@extrinix is there any way u can help I'm a lil confused

Answer 3

@carmelle

Answer 4

@_@

Answer 5

@snowflake0531

Answer 6

bruh lmao

Answer 7

none of us know this

Answer 8

\[−x^2 + 6x + 6 \]
We want to find the coordinates/y values of when x equals 2 and when x equals 5
So can you do
\[ -(2)^2 + 6(2) + 6 \\-(5^2) + 6(5) + 6) \]
Can you simplify the two equations and tell me what you get?

Answer 9

*expressions

Answer 10

Or actually, an easier to way to figure out the two coordinates would be to graph it
graph -x^2 + 6x + 6 into desmos, and find the two coordinates of when x equals 2 and 5

Answer 11

Anyways, after you get the two coordinates, find the slope between them, like a linear line

Answer 12

wait what @_@

Answer 13

sorry for not answering fast, I was just eating

Answer 14

Uh, just first graph it on desmos
and then find the two coordinates where x is 2, and another where x is 5

Answer 15

ooh you're doing buzz

but yea, so now look for x=2 and x=5, what values of y are each?

Answer 16

like what are the coordinates where x is 2, and another where x is 5

Answer 17

Find the slope between the two points

Answer 18

1. Find f(5) and f(2)
2. Find the difference:
f(5) - f(2)
3.
Divide it by the difference of 5 and 2:
[f(5) - f(2)] / (5 - 2)
The number you get is the answer to your question