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

Answer:

Option A is correct.

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

Step-by-step explanation:

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

$A(x) = \frac{f(b)-f(a)}{b-a}$          .....[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;

$A(x) = \frac{f(-3)-f(-6)}{-3+6} = \frac{0-6}{3} = \frac{-6}{3} = -2$

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