Which of the following describes the function x³ - 8?
a. The degree of the function is odd, so the ends of the graph continue in opposite directions. Because the leading coefficient is positive, the left side of the graph continues down the coordinate plane and the right side continues upward
b. The degree of the function is odd, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.
c. The degree of the function is odd, so the ends of the graph continue in opposite directions. Because the leading coefficient is negative, the left side of the graph continues up the coordinate plane and the right side continues downward.
d. The degree of the function is odd, so the ends of the graph continue in the same direction. Because the leading coefficient is positive, the left side of the graph continues up the coordinate plane and the right side continues upward.

Solution:

Given function y = x³ - 8

The degree of the function means the highest power of the variable

Here, the degree is 3, it is odd.

The leading coefficient is 1, which is positive.

By taking sample values of x, we get values of y with the graph as shown

From the graph, we can say that the degree of the function is odd, so the ends of the graph continue in opposite directions.

Because the leading coefficient is positive, the left side of the graph continues down the coordinate plane and the right side continues upward.

Which of the following describes the function x³ - 8?

Summary:

The following describes the function x³ - 8 that the degree of the function is odd, so the ends of the graph continue in opposite directions. Because the leading coefficient is positive, the left side of the graph continues down the coordinate plane and the right side continues upward.