Which are cubic functions? Check all that apply.

A. f(x) = –4 – 2x + 5x3

B. f(x) = –3x – 1

C. f(x) = –x2 + 5x – x3

D. f(x) = x2 – 6x3 + 2x4 + 1

E. f(x) = 2x3 + 3x2 – x – 3

F. f(x) = 3x2 – 1 – 8x

Respuesta :

Answer:

A f(x) = –4 – 2x + 5x3

C f(x) = –x2 + 5x – x3

E f(x) = 2x3 + 3x2 – x – 3

Step-by-step explanation:

The cubic functions are - Option(A) [tex]-4 - 2x + 5x^{3}[/tex] , Option(C) [tex]-x^{2} + 5x - x^{3}[/tex]  and Option(E) [tex]2x^{3} + 3x^{2} - x - 3[/tex]

Concept of cubic functions -

In mathematics, a cubic function is a function of the form f(x)= [tex]ax^{3}+ bx^{2} + cx + d[/tex]  where a, b, c, and d are coefficients of the respective index of variable x. The variable x takes real values both positive and negative . In other words, it is both a polynomial function of degree three, and a real function.

How to identify the cubic function from the Options given in the question ?

From the definition of cubic functions, we simply have to identify the Options which have the power of x as 3 and does not contain any higher powers than that.

Thus we have the correct Options as -

  • Option (A) [tex]-4 - 2x + 5x^{3}[/tex]
  • Option (C) [tex]-x^{2} + 5x - x^{3}[/tex]
  • Option (E) [tex]2x^{3} + 3x^{2} - x - 3[/tex]

To learn more about Cubic functions, refer -

https://brainly.com/question/9089467

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