Find the average rate of change for the given function from x = 1 to x = 2.

Question

anonymous · Answer

Use the graph below to answer this question:

anonymous · Answer

A. -2
B. -1/2
C. 1/2
D. 2

anonymous · Answer

@misty_fox

anonymous · Answer

By definition, the average rate of change of  a function  f  from  x = a  to  x = b is: $$\frac{f(b) - f(a)}{b - a}$$
This is just the slope of the line between the points  (a,f(a))  and (b,f(b)).  Now, you try it...

anonymous · Answer

SOOOO confused.

anonymous · Answer

Average rate of change is just the slope of a line between two points.
Look at your graph:  look at the point when x = 1.  Look at the point when x = 2.  Can you figure out the slope of the line between those two points?

anonymous · Answer

(Remember that slope is rise/run.)

anonymous · Answer

m=1???? idk lol

anonymous · Answer

My teacher was like screaming at me over the phone yesterday over this lol. I had an awful geometry teacher, so any time I'm given graphs I freeze up.