Questions: A function f is even whenever f(-x)=f(x), for each x in the domain of f. Of the following, which graph is an even function?

Transcript text: A function $f$ is even whenever $f(-x)=f(x)$, for each $x$ in the domain of $f$. Of the following, which graph is an even function? Select one:

Solution

Solution Steps

Step 1: Understanding the Definition of an Even Function

An even function satisfies the condition $ f(-x) = f(x) $ for every $ x $ in its domain. This means that the graph of an even function is symmetric with respect to the y-axis.

Step 2: Analyzing the Given Options

Since the question provides multiple-choice options but does not specify the graphs, we cannot directly analyze the graphs. However, based on the definition of an even function, we can infer that the correct graph must be symmetric about the y-axis.

Step 3: Conclusion

Without the specific graphs, we cannot determine which one is even. However, the correct answer would be the graph that is symmetric about the y-axis.