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In two or more complete sentences describe how to determine if the function, f(x)=3cos(x) is even by looking at a graph

Question

In two or more complete sentences describe how to determine if the function, f(x)=3cos(x) is even by looking at a graph

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Solution

To determine if the function f(x)=3cos(x) is even by looking at a graph, you need to check for symmetry about the y-axis. An even function is symmetric about the y-axis, meaning that the left half of the graph is a mirror image of the right half. If you can draw a vertical line (y-axis) through the peak of the graph and it divides the graph into two identical halves, then the function is even. In the case of f(x)=3cos(x), the graph will show this symmetry, indicating that it is an even function.

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