Question

The graph of the function f(x)
looks the same when it is reflected about the origin. Is f(x)
an even function, an odd function, or neither an even nor odd function?

Option 1: even function

Option 2: odd function

Option 3: neither even nor odd function(1 point)
The option that describes f(x)
is Option
.

Answer 1

The function \( f(x) \) that looks the same when it is reflected about the origin is classified as an **odd function**. This is because, for odd functions, the property \( f(-x) = -f(x) \) holds true, indicating that reflecting across the origin produces the same graph.

Therefore, the option that describes \( f(x) \) is **Option 2: odd function**.