𝑓
(
𝑥
)
and −f(−x)
−
𝑓
(
−
𝑥
)
.(1 point)
Responses
If (x,y)
(
𝑥
,
𝑦
)
is on the graph of f(x)
𝑓
(
𝑥
)
, then (x,−y)
(
𝑥
,
−
𝑦
)
is on the graph of −f(−x)
−
𝑓
(
−
𝑥
)
.
If left parenthesis x comma y right parenthesis is on the graph of f left parenthesis x right parenthesis , then left parenthesis x comma negative y right parenthesis is on the graph of negative f left parenthesis negative x right parenthesis .
If (x,y)
(
𝑥
,
𝑦
)
is on the graph of f(x)
𝑓
(
𝑥
)
, then (−x,−y)
(
−
𝑥
,
−
𝑦
)
is on the graph of −f(−x)
−
𝑓
(
−
𝑥
)
.
If left parenthesis x comma y right parenthesis is on the graph of f left parenthesis x right parenthesis , then left parenthesis negative x comma negative y right parenthesis is on the graph of negative f left parenthesis negative x right parenthesis .
If (x,y)
(
𝑥
,
1 answer
The statement that best describes the true relationship between any point on \( f(x) \) and \( -f(-x) \) is:
If \( (x,y) \) is on the graph of \( f(x) \), then \( (-x,-y) \) is on the graph of \( -f(-x) \).
This means that if you take a point \( (x,y) \) from the function \( f(x) \), then by negating both the x-coordinate and the y-coordinate, you obtain the point \( (-x,-y) \) that corresponds to \( -f(-x) \).
