how do i make a table and graph the function f(x) = 1/2 x squared

Question

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

Answer 1

f(x) = y = (1/2)x^2 is an upward opening parabola with origin as the vertex = minimum point = the absolute and relative (local) minimum

inputs are the x values, all real numbers

outputs are the y values all real numbers = to or larger than zero

x -4 -2 0 2 4

y 8 2 0 2 8 is a brief table of inputs and corresponding outputs

Answer 2

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.