Q. Determine whether the function f(x)=−6x−1 is even, odd or neither.evenoddneither
Define function f(x): Define the function f(x). The given function is f(x)=−6x−1. To determine if the function is even, odd, or neither, we need to compare f(x) with f(−x).
Calculate f(−x): Calculate f(−x).Substitute −x for x in f(x)=−6x−1 to find f(−x).f(−x)=−6(−x)−1f(−x)=6x−1
Compare f(x) with f(−x): Compare f(x) with f(−x). We have f(x)=−6x−1 and f(−x)=6x−1. Since f(−x)=f(x) and f(−x)=−f(x), the function f(x) is neither even nor odd.