Is the following function even, odd, or neither? f(x)=4x+2 Choose 1 answer: (A) Even (B) Odd (c) Neither

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Is the following function even, odd, or neither?  f(x)=4x+2 Choose 1 answer: (A) Even (B) Odd (c) Neither

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Check Even Function: To determine if the function f(x) = 4x + 2 is even, odd, or neither, we need to check the symmetry properties of the function. An even function satisfies the condition f(x) = f(-x) for all x in its domain, while an odd function satisfies the condition f(-x) = -f(x) for all x in its domain. Let's first check if f(x) is even.Calculate f(-x): We calculate f(-x) for the given function f(x) = 4x + 2. Substituting -x into the function, we get f(-x) = 4(-x) + 2 = -4x + 2.Compare f(-x) with f(x): Now we compare f(-x) with f(x). We have f(x) = 4x + 2 and f(-x) = -4x + 2. Since f(x) does not equal f(-x), the function is not even.Check Odd Function: Next, we check if f(x) is odd by verifying if f(-x) = -f(x). We already calculated f(-x) = -4x + 2. Now we need to calculate -f(x), which is -f(x) = -(4x + 2) = -4x - 2.Calculate -f(x): Comparing f(-x) with -f(x), we have f(-x) = -4x + 2 and -f(x) = -4x - 2. Since f(-x) does not equal -f(x), the function is not odd.Compare f(-x) with -f(x): Since the function f(x) = 4x + 2 is neither even nor odd, the correct answer is (C) Neither.

Is the following function even, odd, or neither? $\newline$ $f(x)=4 x+2$ $\newline$ Choose $1$ answer: $\newline$ (A) Even $\newline$ (B) Odd $\newline$ (C) Neither

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Is the following function even, odd, or neither?\newlinef(x)=4x+2 f(x)=4 x+2 f(x)=4x+2\newlineChoose 111 answer:\newline(A) Even\newline(B) Odd\newline(C) Neither

Is the following function even, odd, or neither? $\newline$ $f(x)=4 x+2$ $\newline$ Choose $1$ answer: $\newline$ (A) Even $\newline$ (B) Odd $\newline$ (C) Neither