Answer:
(d) f(x) = 6x³ + 2x
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.