Question

If the point (7,43) is on the graph of f(x), what point must be on the graph of −f(−x)?(1 point)
Responses

(−7,43)
left parenthesis negative 7 comma 43 right parenthesis

(−7,−43)
left parenthesis negative 7 comma negative 43 right parenthesis

(7,−43)
left parenthesis 7 comma negative 43 right parenthesis

(7,43)

Answer 1

we know f(7) = 43, but we have no idea what f(-7) is.
So we cannot know -f(-x).
If f(x) is even, then yes, -f(-7) = 43

Answer 2

(-7, 43)

Answer 3

You are correct. Without any information about the function f(x), we cannot determine the point on the graph of -f(-x). We can only deduce that if f(x) is an even function, then -f(-7) would indeed be 43.