# Which of the following describes the function x3 − 8? (10 points) a. The degree of the function is odd, so the ends of the

###### Question:

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.

## Answers

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.

Step-by-step explanation:

The given cubic polynomial function is

[tex]f(x) = {x}^{3} - 8[/tex]

The degree of this function is odd because 3 is an odd number.

Therefore the ends of the graph, continue in opposite direction.

As x-values gets bigger and bigger negatively, the graph continues down on the Left.

As x-values gets bigger and bigger positively, the graph continues up on the right.

Therefore the correct option is A.

Option (a) is correct.

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.

Step-by-step explanation:

Given : Function [tex]x^3-8[/tex]

We have to choose out of given options that correctly describes the given function [tex]x^3-8[/tex].

Consider the given function [tex]x^3-8[/tex]

Degree is the highest power of the function. Since, the given function has degree 3. So, it is odd.

So, The graph will be in opposite direction.

Also, The leading coefficient is 1 (coefficient of highest degree) and positive so the left side of the graph continues down the coordinate plane and the right side continues upward.

Also, The graph shifts 8 units downward from the origin.

Thus, Option (a) is correct.

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.

[tex]Which of the following describes the function x3 − 8? a)the degree of the function is odd, so the e[/tex]

Option c is correct.

Step-by-step explanation:

We have been given the function:

[tex]-x^3+5[/tex]

We can see the degree that is the highest power is 3 which is odd and leading coefficient is negative that is coefficient of degree variable.

Therefore, option a and d are discarded.

And you can see the attachment for the graph of given function.

The left side of the graph continues up the coordinate plane and right side continues downward.

Therefore, Option c is correct.

[tex]Which of the following describes the function −x3 + 5? select one: a. the degree of the function i[/tex]

1) 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.

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.

Step-by-step explanation:

We have the function given by [tex]f(x)=-x^{3}+5[/tex].

As, the highest power of the variable 'x' is 3. Thus, the degree of f(x) is odd.

It is known that, 'When the degree of a function is odd, the graph of the function goes in opposite directions'.

So, options B and D are wrong.

Moreover, as the co-efficient of the variable having highest power i.e. [tex]x^{3}[/tex] is -1.

So, the leading co-efficient is negative.

It is known that, 'When the leading co-efficient of a function is negative, the graph of the function rises to the left and falls to the right'.

Also, we can see from the figure below that, the graph of the function continues upward on the left and downwards on the right.

Thus, option A is wrong.

Hence, option C is correct for the function [tex]f(x)=-x^{3}+5[/tex].

[tex]Which of the following describes the function −x3 + 5? select one: a. the degree of the function i[/tex]

The correct choice is C

Step-by-step explanation:

The given function is:

[tex]-x^3+5[/tex]

The degree of this function is odd so the function will rise at one end and fall on the other end.

Since the coefficient of the leading term is negative, the graph of the function will rise at the left and fall on the right.

The correct answer is option C.

[tex]Which of the following describes the function −x3 + 5? a) the degree of the function is odd, so the[/tex]

D is the correct answer it's a parabel