Find the average rate of change for the given function from x = −1 to x = 2.
negative one-third
one-third
−3
3

Question

Find the average rate of change for the given function from x = −1 to x = 2.
 negative one-third
 one-third
 −3
 3

brooke1556 · Answer

attachment

photon336 · Answer

what you can do if first find out what the y coordinates are at x = -1 and x = 2

brooke1556 · Answer

(-1,1)
(0,2)

photon336 · Answer

okay @Brooke1556 now let's find the slope between those two points.

photon336 · Answer

$$slope~m = \frac{ y_{2}-y_{1} }{ x_{2}-x_{1} }$$

now subtract (1-2)/(-1-0) = ?

brooke1556 · Answer

@Photon336 (-1,-1)

photon336 · Answer

now let's put that into the formula 

change in y = -1
the change in x = -1 

$$\frac{ \Delta~y }{\Delta~x } = \frac{ -1 }{ -1 } = 1$$

brooke1556 · Answer

@Photon336 Im confused, what do I do with 1?

photon336 · Answer

so 1 is the slope, that's the average rate of change between points (-1,1) and (0,2)

brooke1556 · Answer

But 1 is not in my answer choices.
@Photon336

photon336 · Answer

we may have looked at the graph wrong and chose the wrong points for y

$$(-1,5):(2,-4) = \frac{ (5-(-4)) }{ (-1-2) } = -3$$