Yes, you can tell if a function is even or odd by looking at its graph!

Even Functions

• Symmetry: Even functions are the same on both sides of the $y$-axis. If you fold the graph along this line, both halves match up perfectly.
• Example: A good example of an even function is the graph of $f(x) = x^2$.

Odd Functions

• Symmetry: Odd functions look different on each side, but if you spin the graph 180 degrees around the center point (the origin), it looks the same as it did before.
• Example: The graph of $f(x) = x^3$ is a great example of an odd function.

Quick Check

• If you plug in negative $x$ and find that $f(-x) = f(x)$, then the function is even.
• If you plug in negative $x$ and find that $f(-x) = -f(x)$, then the function is odd.

By noticing these patterns, you can easily figure out if a function is even or odd!