Question

y = x^3 + 7

Graph the function rule.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To graph the function rule y = x^3 + 7, we need to plot points on a coordinate plane.

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

When x = -3, y = (-3)^3 + 7 = -27 + 7 = -20.
When x = -2, y = (-2)^3 + 7 = -8 + 7 = -1.
When x = -1, y = (-1)^3 + 7 = -1 + 7 = 6.
When x = 0, y = (0)^3 + 7 = 0 + 7 = 7.
When x = 1, y = (1)^3 + 7 = 1 + 7 = 8.
When x = 2, y = (2)^3 + 7 = 8 + 7 = 15.
When x = 3, y = (3)^3 + 7 = 27 + 7 = 34.

Now we can plot these points on a coordinate plane:

(-3, -20)
(-2, -1)
(-1, 6)
(0, 7)
(1, 8)
(2, 15)
(3, 34)

Next, we can connect these points with a smooth curve:

Note: The graph will be a curve that passes through these points and extends infinitely in both directions, but for the sake of space, we will only draw a portion of it.

This is the graph of the function rule y = x^3 + 7.