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Determine whether the function f(x)=-6x-1 is even, odd or neither. even odd neither

Determine whether the function f(x)=−6x−1 f(x)=-6 x-1 is even, odd or neither.\newlineeven\newlineodd\newlineneither

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Q. Determine whether the function f(x)=−6x−1 f(x)=-6 x-1 is even, odd or neither.\newlineeven\newlineodd\newlineneither
  1. Define function f(x)f(x): Define the function f(x)f(x). The given function is f(x)=−6x−1f(x) = -6x - 1. To determine if the function is even, odd, or neither, we need to compare f(x)f(x) with f(−x)f(-x).
  2. Calculate f(−x)f(-x): Calculate f(−x)f(-x).\newlineSubstitute −x-x for xx in f(x)=−6x−1f(x) = -6x - 1 to find f(−x)f(-x).\newlinef(−x)=−6(−x)−1f(-x) = -6(-x) - 1\newlinef(−x)=6x−1f(-x) = 6x - 1
  3. Compare f(x)f(x) with f(−x)f(-x): Compare f(x)f(x) with f(−x)f(-x). We have f(x)=−6x−1f(x) = -6x - 1 and f(−x)=6x−1f(-x) = 6x - 1. Since f(−x)≠f(x)f(-x) \neq f(x) and f(−x)≠−f(x)f(-x) \neq -f(x), the function f(x)f(x) is neither even nor odd.

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