Even and Odd Functions: Properties, Symmetry, and Algebraic Determination, Exercises of Pre-Calculus

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1.3 Continued Even and Odd Functions A Function is EVEN if: Graph is symmetric to the yaxis and

Prove the function is even.

Prove the function is odd.

Functions can be neither even nor odd. Prove this function is neither.

Find the coordinate of a second point on the graph of a function f, if the given point is on the graph and the function is a.) EVEN and b.) ODD.

Use possible symmetry to determine whether each graph is the graph of an even function, an odd function, or a function that is neither even nor odd.