Question

Which of the following describes the function x^3 − 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.

Answer 1

Answer:

(A)

Step-by-step explanation:

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.

Answer 2

Option A describes the the function

The given function is $x^3 - 8$ ...(1)

Expression (1)  is  a  Third Degree polynomial equation in one variable  x .

Since Three (3) is an odd number  so the ends of the graph continue in opposite directions.

Also The leading coefficient of a polynomial equation is the coefficient of the highest degree term and hence the coefficient of $x^3$ is 1.

We can clearly see that coefficient of $x^3$ is positive.

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

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