Answer :

sqdancefan

Answer:

  (d)  f(x) = 6x³ + 2x

Step-by-step explanation:

You want to identify the odd function from a list of functions:

  • f(x) = 3x² + x
  • f(x) = 4x³ + 7
  • f(x) = 5x² + 9
  • f(x) = 6x³ + 2x

Odd function

An odd polynomial function will have terms with only odd powers of x. Functions containing constant terms or squared terms cannot be odd functions.

  • f(x) = 3x² + x — has a squared term
  • f(x) = 4x³ + 7 — has an added constant
  • f(x) = 5x² + 9 — has a squared term
  • f(x) = 6x³ + 2x — this is an odd function

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Additional comment

An odd function can be identified by the fact that it satisfies ...

  f(-x) = -f(x)

Its graph is symmetrical about the origin.

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