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Question

Determine whether the function f(x) = 4x is even, odd, or neither.

Solution

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Even fuction : A function is even when \textbf{Even fuction : }\text{A function is even when }

f(x)=f(x) for all xf(-x)=f(x) \text{ for all x}

Odd fuction : A function is odd when \textbf{Odd fuction : }\text{A function is odd when }

f(x)=f(x) for all xf(-x)=-f(x) \text{ for all x}

Neither even or odd fuction : A function is neither even or odd when \textbf{Neither even or odd fuction : }\text{A function is neither even or odd when }

f(x)f(x),f(x)f(x) for all xf(-x)\ne-f(x) ,f(-x)\ne f(x) \text{ for all x}

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