80.2k views
1 vote
Which answer describes the function f(x)=x^5+2x ?

odd

even

neither

User Waldente
by
7.8k points

2 Answers

4 votes

Answer:

A. Odd

Explanation:

User Filippo Sebastio
by
7.8k points
7 votes

Answer:

Odd function

Explanation:

The given function is
f(x)=x^5+2x

We know that:

  • The function is even if f(-x) = f(x)
  • The function is odd if f(-x)=-f(x)
  • If the function doesn't satisfy these two properties then it is neither odd nor even.

Hence, we substitute x = -x to find f(-x)


f(-x)=(-x)^5+2(-x)\\=-x^5-2x\\=-(x^5+2x)\\=-f(-x)

Since, f(-x)=-f(x). Hence, the function is odd.

User Phortuin
by
7.9k points

No related questions found