Question

Choose the correct statement to describe 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 (−x,y)
is on the graph of f(−x)
.

Answer 1

Correct answer: "If (x,y) is on the graph of f(x), then (−x,y) is on the graph of f(−x)."

Reason: If y = f(x), then f(−(−x)) = f(x) = y, so at input −x the function f(−x) takes value y, i.e. the point (−x,y) lies on f(−x).