Question

Drag the correct classification for each graph into the boxes to complete the table.

Answer 1

neither even or odd, odd, even

Answer 2

Odd, neither, neither

Explanation:

A function is even if f(x) = f(-x). That means that it passes through the origin and is symmetrical about the y-axis.

A function is odd if f(x) = -f(-x). That means that it passes through the origin and is symmetrical about the origin.

The first graph, the line, passes through the origin and is symmetrical about the origin. So it is odd.

The second graph does not pass through the origin, nor is it symmetrical. So it is neither odd nor even.

The third graph does not pass through the origin, nor is it symmetrical about the y-axis. So it is neither odd nor even.