Explanation Definition used: Even Function: The graph of y = f ( x ) is symmetric with respect to the y -axis if, for every point ( x , y ) on the graph, the point ( − x , y ) is also on the graph that is, f ( − x ) = f ( x ) for all x in the domain of f . Such a function is called even function. Odd Function: The graph of y = f ( x ) is symmetric with respect to the origin if, for every point ( x , y ) on the graph, the point ( − x , − y ) is also on the graph that is, f ( − x ) = − f ( x ) for all x in the domain of f . Such a function is called an odd function. Calculation: To test the given function f ( x ) = | x | − 5 is even, odd, or neither

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Chapter 4.1, Problem 47E

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To test: Whether the function f(x)=|x|−5 is even, odd, or neither.

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Chapter 4.1, Problem 46E

Chapter 4.1, Problem 48E

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To test: Whether the function f ( x ) = | x | − 5 is even, odd, or neither.

Solution Summary: The author analyzes whether the function f(x)= left|x|right|-5 is even, odd, or neither.

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To test: Whether the function f(x)=|x|−5 is even, odd, or neither.

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