Question

Choose the statement that best describes a true relationship between any point on f(x)
and −f(−x)
.(1 point)

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

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

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

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

Answer 1

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

Reason: y = f(x). For g(x) = -f(-x), g(-x) = -f(-(-x)) = -f(x) = -y, so (-x, -y) lies on g.