Question

Choose the correct statement to describe a true relationship between any point on f(x) and f(-x)
If (x, y) is on the graph then (x, -y) is on the graph of f(-x)
(-x, y)
(-x, -y)
(x, y)

Answer 1

To describe the relationship between a point on the graph of \( f(x) \) and a point on the graph of \( f(-x) \), let's denote a point on the graph of \( f(x) \) as \( (x, y) \), where \( y = f(x) \).

When we consider \( f(-x) \), we find that:

1. The input is \(-x\).
2. The value of the function at this point would be \( f(-x) \).

The relationship that describes a point on the graph of \( f(-x) \) corresponding to \( (x, y) \) is:

If \( (x, y) \) is on the graph of \( f(x) \), then \( (-x, y) \) is on the graph of \( f(-x) \).

Therefore, the correct option is:

\((-x, y)\)