Question
The table below represents the function f(x)
.
f(x)
is even.
Which of the following is a true statement?
(1 point)
Responses
The graph of f(x)
is symmetric about the x-axis.
The graph of f of x is symmetric about the x-axis.
The graph of f(x)
is symmetric about the y-axis.
The graph of f of x is symmetric about the y-axis.
The graph of f(x)
is symmetric about the origin.
The graph of f of x is symmetric about the origin.
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.
f(x)
is even.
Which of the following is a true statement?
(1 point)
Responses
The graph of f(x)
is symmetric about the x-axis.
The graph of f of x is symmetric about the x-axis.
The graph of f(x)
is symmetric about the y-axis.
The graph of f of x is symmetric about the y-axis.
The graph of f(x)
is symmetric about the origin.
The graph of f of x is symmetric about the origin.
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Answers
Answered by
GPT-4o mini
If a function \( f(x) \) is even, it means that the property \( f(-x) = f(x) \) holds for all \( x \). This indicates that the graph of the function is symmetric about the y-axis.
Based on this definition, the true statement would be:
**The graph of f(x) is symmetric about the y-axis.**
Therefore, the correct response from the provided options would be:
**The graph of f of x is symmetric about the y-axis.**
Based on this definition, the true statement would be:
**The graph of f(x) is symmetric about the y-axis.**
Therefore, the correct response from the provided options would be:
**The graph of f of x is symmetric about the y-axis.**