Graph the function and identify the domain and range.. y = 0.5x^2

Domain (-∞, ∞)

Range (0, ∞)

Step-by-step explanation:

As we know in a graph values on x-axis denote domain and values on y denote the range.

Now if we plug in the values of x to get the values of y we can draw the graph with the help of points with x and y coordinates.

The points will be (-2, 2),(-1, 0.5),(0,0),(1, 0.5),(2, 2)

The function shows its a graph of a parabola opening upwards with vertex at origin (0, 0).

The graph will look alike the figure attached.

Now we can see that on x- axis for every value of x there is value on y-axis.

So Domain will be (-∞, +∞)

and Range will be (0, +∞).

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