If the point (13,−7) is on the graph of f(x), what point must be on the graph of f(−x)? (1 point)

Question

Responses

The point (13,7) must be on the graph of f(−x)

The point (13,−7) must be on the graph of f(−x)

The point (−13,−7) must be on the graph of f(−x)

The point (−13,7) must be on the graph of f(−x)

Answer 1

If the point \((13, -7)\) is on the graph of \(f(x)\), it means that \(f(13) = -7\).

For the function \(f(-x)\), we need to evaluate \(f(-x)\) at \(x = -13\):

• When \(x = -13\), then \(-x = 13\).
• Therefore, \(f(-(-13)) = f(13) = -7\).

This means that the point \((-13, -7)\) is on the graph of \(f(-x)\).

Thus, the correct response is:

The point \((-13, -7)\) must be on the graph of f(−x).