Question

Choose the correct statement to describe a true relationship between any point on f (x) and -f (x).

1. If (x,y) is on graph f (x), then (x, -y) is on the graph of -f (x).
2. If (x,y) is on the graph of f (x), then (-x, -y) is on the graph of -f (x).
3. If (x, y) is on the graph f (x), then (-x, -y) is on the graph of -f (x)
4. If (x, y) is on the graph of f (x), then (-x, y) is on the graph of -f (x)

Answer 1

The correct statement to describe the relationship between any point on \( f(x) \) and \(-f(x)\) is:

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

This statement accurately indicates that to obtain the point on the graph of \(-f(x)\), you take the original point \((x, y)\) from \( f(x) \) and keep the \( x \)-coordinate the same while negating the \( y \)-coordinate.