Warm-Up

FUNCTIONSFUNCTIONS Symmetric about the y axis Symmetric about the origin

For an even function: for every point (x, y) on the graph, the point (-x, y) is also on the graph. Even functions have y-axis Symmetry

For an odd function: for every point (x, y) on the graph, the point (-x, -y) is also on the graph. Odd functions have origin Symmetry

We wouldn’t talk about a function with x-axis symmetry because it wouldn’t BE a function. x-axis Symmetry

Even, Odd or Neither? Graphically

Even, Odd or Neither? Graphically 

 Even, Odd or Neither? Graphically

 Even, Odd or Neither? Graphically

If you plug a –x into the function and you get the original function back again, the function is even. Same! Even Function

If you plug a –x into the function and you get the negative of the function back (all terms change signs), the function is odd. Odd Function ALL signs of the terms changed!

If you plug a –x into the function and you get the original function back again, the function is even. Is this function even? YES Is this function even? NO

If you plug a –x into the function and you get the negative of the function back (all terms change signs), the function is odd. Is this function odd? NO Is this function odd? YES

Odd, Even, or Neither? Even Function

Odd, Even, or Neither? Neither Odd or Even

Odd, Even, or Neither? Odd Function