need to make a table and graph the function f(x) = 1/2 x squared and describe all of the possible input and output values

Your table will be a "T-chart" where the left column is x and the right column is your function (or y).

for instance:

x f(x)

2 2

3 4.5

4 8

You plug in the left column for x each time (you can choose any numbers you want for x), then square it, then divide by 2, and you have your right column, hence the function.

You would then graph it by using your left column as your x-coordinate and your right column as your y-coordinate.