Question

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

–3
–2
2
3

Answer 1

Answer:

The correct answer is 2.

Step-by-step 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

Answer 2

Answer:

2

Step-by-step explanation:

Rate of change on the given interval a to b is

$\frac{f(b)-f(a)}{b-a}$

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

$rate of change =\frac{4-(-2)}{6-3} =\frac{6}{3} =2$

answer is 2