Find the average rate of change for the given function from x = -1 to x = 4 ( i would like someone to explain this for me to)

The average r. of c. for the given fn. on [-1, 4] is -2.

Step-by-step explanation:

The graph of this function tells us that it's a linear function.  The rate of change of a linear function is constant and is equal to the slope of the line.  So we need to determine the slope from the graph:

As we move from (0, 3) to (2, -1) x increases by 2 and y decreases by 4.  Thus, the slope is m = rise / run = -4/2, or -2.  The slope is m = -2.  This is also the rate of change of this function for any interval, including the interval [-1, 4].

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