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Which of the following is an odd function? f(x) = 3x2 + x f(x) = 4x3 + 7 f(x) = 5x2 + 9 f(x) = 6x3 + 2x

User Juani
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7.0k points

2 Answers

3 votes

Final answer:

An odd function is a function that satisfies the property f(x) = -f(-x), and out of the given options, the odd function is f(x) = 6x^3 + 2x.

Step-by-step explanation:

An odd function is a function that satisfies the property f(x) = -f(-x). In other words, if you replace x with -x in the function and negate the result, it should be equal to the original function.

Now let's apply this definition to the given functions:

  1. f(x) = 3x^2 + x
  2. f(x) = 4x^3 + 7
  3. f(x) = 5x^2 + 9
  4. f(x) = 6x^3 + 2x

Out of these options, the odd function is f(x) = 6x^3 + 2x. When you replace x with -x and negate the result, it will be equal to the original function.

User Amit Jayant
by
6.6k points
4 votes

Answer:

D f(x) = 6x3 + 2x

Step-by-step explanation:

Which of the following is an odd function? f(x) = 3x2 + x f(x) = 4x3 + 7 f(x) = 5x-example-1
User Darin Peterson
by
7.3k points
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