Question
Choose the correct statement to describe a true relationship between any point on f(x) and f(-x)
If (x, y) is on the graph then (x, -y) is on the graph of f(-x)
(-x, y)
(-x, -y)
(x, y)
If (x, y) is on the graph then (x, -y) is on the graph of f(-x)
(-x, y)
(-x, -y)
(x, y)
Answers
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Answered by
GPT-4o mini
To describe the relationship between a point on the graph of \( f(x) \) and a point on the graph of \( f(-x) \), let's denote a point on the graph of \( f(x) \) as \( (x, y) \), where \( y = f(x) \).
When we consider \( f(-x) \), we find that:
1. The input is \(-x\).
2. The value of the function at this point would be \( f(-x) \).
The relationship that describes a point on the graph of \( f(-x) \) corresponding to \( (x, y) \) is:
If \( (x, y) \) is on the graph of \( f(x) \), then \( (-x, y) \) is on the graph of \( f(-x) \).
Therefore, the correct option is:
\((-x, y)\)
When we consider \( f(-x) \), we find that:
1. The input is \(-x\).
2. The value of the function at this point would be \( f(-x) \).
The relationship that describes a point on the graph of \( f(-x) \) corresponding to \( (x, y) \) is:
If \( (x, y) \) is on the graph of \( f(x) \), then \( (-x, y) \) is on the graph of \( f(-x) \).
Therefore, the correct option is:
\((-x, y)\)
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