Questions: Matthew Marczak

Solution Steps

To determine if the function is even, we need to check if it satisfies the condition \( f(x) = f(-x) \). This means that the function should be symmetric with respect to the y-axis.

Examine the graph to see if it is symmetric about the y-axis. This involves checking if for every point \((x, y)\) on the graph, there is a corresponding point \((-x, y)\).

From the graph:

• The point \((\frac{\pi}{2}, 1)\) has a corresponding point \((- \frac{\pi}{2}, 1)\).
• The point \((\frac{\pi}{2}, -1)\) has a corresponding point \((- \frac{\pi}{2}, -1)\).

These points indicate that the function is symmetric about the y-axis.

Final Answer