Question

Find the average rate of change for the given function from x = -3 to x = 1. (5 points)
1. -1
2. -2
3. 1
4. 2

Answer 1

The average rate of change formula is \[\left(\begin{matrix}f(b)-f(a) \\ b-a\end{matrix}\right)\]

Answer 2

Okay, so x=1 will be your B, and x=3 will be your A. To find f(b).. When X is 1, what is y?

Answer 3

so -1 which is b - 3 which is a would be -2

Answer 4

so is the answer -2?

Answer 5

The average rate of change is constant becasue it is a straight line. The slope between each point is 1, which is the average rate of change. You could also figure this out by doing a table like this and figuring it out algebraically: