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 negative x comma negative y right parenthesis is on the graph of 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 y right parenthesis is on the graph of f left parenthesis negative x right parenthesis .
If (x,y)
(
𝑥
,
𝑦
)
is on the graph o
1 answer
The correct statement to describe the relationship between any point on \( f(x) \) and its value at \( f(-x) \) is:
If \( (x, y) \) is on the graph of \( f(x) \), then \( (-x, y) \) is on the graph of \( f(-x) \).
This is because the function \( f(-x) \) reflects points in the graph of \( f(x) \) across the y-axis, maintaining the same y-values but changing the x-values to their negatives.
