Which function rule produces the following graph?

Option: A and C are correct.

Step-by-step explanation:

Clearly from the graph of the function we could see that:

The domain of the function is the set of all the real numbers as the graph is a line taking values at all the real numbers.

Hence option: A

Domain = {-8,-3,1,4} is correct.

Similarly Option:C

Domain= {-9,-5,2,6} is correct.

Now let us consider any two point in the graph so that we could find the equation of the line and check whether the equation holds?

We are given two points in the graph as:

(0,5) and (2,8).

The equation of line passing through two points (a,b) and (c,d) is given by:

Here (a,b)=(0,5) and (c,d)=(2,8)

Hence, equation of line is given by:

Hence option: B and option D are incorrect.

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