Question

PLEASEE HELPP ANYONE

Which is the rate of change for the interval between –6 and –3 on the x-axis?
A -2
B -1/2
C 1/2
D 2

Answer 1

easy
just find the slope between those 2 points
f(-6)=6
f(-3)=0

slope=rise/run=-6/3=-2
slope is -2
A is answer

Answer 2

Option A is correct.

-2 is the rate of change for the interval between –6 and –3 on the x-axis

Explanation:

Average rate of change(A(x)) of function f(x) over the interval [a, b] is given by:

`A(x) = (f(b)-f(a))/(b-a)` .....[1]

As per the statement:

To find the rate of change for the interval between –6 and –3 on the x-axis.

At x = -6

From the graph:

f(-6) = 6

At x = -3

then;

f(-3) = 0

Substitute these in [1] we have;

`A(x) = (f(-3)-f(-6))/(-3+6) = (0-6)/(3) = (-6)/(3) = -2`

Therefore, the rate of change for the interval between –6 and –3 on the x-axis is, -2