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Question

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

Solution

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

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

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

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

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

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

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