How to use the graph of f(x)=secx to determine whether the function is even, odd or neither?

Martha Richmond

Martha Richmond

Answered question

2023-03-19

How to use the graph of f ( x ) = sec x to determine whether the function is even, odd or neither?

Answer & Explanation

shorteghurlxh0m

shorteghurlxh0m

Beginner2023-03-20Added 10 answers

The graph of f ( x ) = sec x is shown below:
graph{sec x [-10, 10, -5, 5]}
A function is even if and only if f ( - x ) = f ( x ) , so its graph would be symmetric with respect to the y -axis.
If a function is odd, f ( - x ) = - f ( x ) , which means that its graph is symmetric with respect to the origin.
In this case, we can see that the graph is symmetric with respect to the y -axis. Thus, f ( x ) = sec x is an even function.

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