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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)=6x1 f(x)=-6 x-1 is even, odd or neither.\newlineeven\newlineodd\newlineneither

Full solution

Q. Determine whether the function f(x)=6x1 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)=6x1f(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)=6x1f(x) = -6x - 1 to find f(x)f(-x).\newlinef(x)=6(x)1f(-x) = -6(-x) - 1\newlinef(x)=6x1f(-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)=6x1f(x) = -6x - 1 and f(x)=6x1f(-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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