Given the following table, find the rate of change between f(-4) and f(0).
x -4 -2 0 2 4
f(x) -2 -1 0 1 2
a.2
b.1/2
c.-1/2
d.-2

 The correct option is (B)

Step-by-step explanation:  We are given to find the rate of change between f(-4) and f(0) from the following table:

x-4-2024

f(x)-2-1012

The average rate of change of a function f(x) from x = a to x = b is given by

From the given table, we have

f(-4) = - 2  and  f(0) = 0.

Therefore, the average rate of change between f(-4) and f(0) is given by

Thus, the required rate of change is

Option (B) is correct.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet