Graph the function rule.

y = x^3 + 3

To graph the function y = x^3 + 3, we need to find some points on the graph and then plot them.

Let's choose a few values for x and calculate the corresponding y values:

When x = -2, y = (-2)^3 + 3 = -8 + 3 = -5
When x = -1, y = (-1)^3 + 3 = -1 + 3 = 2
When x = 0, y = (0)^3 + 3 = 0 + 3 = 3
When x = 1, y = (1)^3 + 3 = 1 + 3 = 4
When x = 2, y = (2)^3 + 3 = 8 + 3 = 11

Now we can plot these points on a graph:

(-2, -5)
(-1, 2)
(0, 3)
(1, 4)
(2, 11)

Using these points, we can draw a smooth curve that represents the function y = x^3 + 3.