Given the function g(x)=-x^2+7x+14g(x)=−x
2
+7x+14, determine the average rate of change of the function over the interval 1\le x \le 101≤x≤10.

Question

Given the function g(x)=-x^2+7x+14g(x)=−x 
2
 +7x+14, determine the average rate of change of the function over the interval 1\le x \le 101≤x≤10.

dude · Answer

Between 1 and 10?

Allison · Answer

Yeah not sure why it copies as 101

Allison · Answer

-x^2+7x+14

dude · Answer

Formatting dw

$-(1)^2+7(1)+14$ <--    this should be ez
$=-(10)^2+7(10)+14$

Allison · Answer

19 and 64

Allison · Answer

So 19 and 61... 1 and 10

dude · Answer

No no

20 and -16

But same idea

$\dfrac{-16-20}{10-1}$

Allison · Answer

Where you get those from? My calculator says 19 and 64

dude · Answer

$=-(1)^2+7(1)+14$

$-1+7+14=20$

~~~~~~~~~

$=-(10)^2+7(10)+14$

$-100+70+14$

$-30+14=-16$

dude · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @dude
No no

20 and -16

But same idea

$\dfrac{-16-20}{10-1}$
$\color{#0cbb34}{\text{End of Quote}}$