Why do we choose -2, -1, 0 , 1, 2 for the x values?

  In many cases, the function is easily evaluated and/or graphed for those x-values.

Step-by-step explanation:

We are usually interested in x-values that relate to the problem at hand. In many cases, the functions we study are graphed on a coordinate plane that includes the origin and a few numbers in every direction. That is, x-values of -2, -1, 0, 1, 2 are right in the middle of the graph we want to create.

Another reason for choosing small values of x is that we may want to raise these values to some power (as for evaluating a polynomial). Many of us have memorized the first few powers of the first few integers, so using small integers makes the evaluation easier.

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That is not always the case. Some functions may not be defined for negative values of x, or those values may not exist in the "practical domain" of the function. Trigonometric functions may be more easily evaluated for multiples of π/6, instead of small integers. Other functions may be scaled or offset so that small integer values of x are of no interest.

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step-by-step explanation:

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