Question

Which is the rate of change for the interval between 3 and 6 on the x-axis?

–3
–2
2
3

Answer 1

2

Explanation:

Rate of change on the given interval a to b is

`(f(b)-f(a))/(b-a)`

a=3 and b=6

f(a) and f(b) are the y values on the graph at x=3 and x=6

f(3)= -3 and f(6) is 4

Now plug in the values in the formula

`rate of change =(4-(-2))/(6-3) =(6)/(3) =2`

answer is 2

Answer 2

The correct answer is 2.

Explanation:

To find this, first identify the ordered pairs at those two points. They would be (3, -2) and (6, 4). Then use the slope formula with those two points to find the rate of change.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - - 2)/(6 - 3)

m = 6/3

m = 2