Choose the correct statement to describe a true relationship between any point on f(x) and f(−x) .(1 point) Responses If (x,y) is on the graph of f(x) , then (x,−y) is on the graph of 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 f left parenthesis negative x right parenthesis . If (x,y) is on the graph of f(x) , then (−x,y) is on the graph of 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) is on the graph of f(x) then (x,y) is on the graph of 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 y right parenthesis is on the graph of f left parenthesis negative x right parenthesis . If (x,y) is on the graph of f(x) then (−x,−y) is on the graph of f(−x) .
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The correct statement to describe a 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 for the function \( f(-x) \), the output remains the same as when the corresponding input through \( f(x) \) is negated.
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