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Graphs of Functions 3
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Result
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Choose your answer to each question.

1. Which of the following can you do to test whether or not the graph of a function is symmetric with respect to the y-axis?
Use the vertical line test.
Check if the function is even.
Construct a table of random values or ordered pairs that satisfy the function.
None of the choices.
Answer: Check if the function is even.
2. Which of the following statements is true?
If a graph of a function is given, any vertical line should intersect the graph in no more than one point.
If a graph contains two or more different points with the same first coordinate, the graph is not a graph of a function.
Both statements
Neither of the two statements
Answer: Both statements
3. Which of the following equations is true for an even function  f(x)?
  f(x)=f(−x)
  f(−x)=−f(x)
  f(x)=−f(x)
None of the choices
Answer: f   ( x ) = f   ( − x )
4. Which of the following equations is true for an odd function  f(x)?
  f(x)=f(−x)
  f(−x)=−f(x)
  f(x)=−f(x)
None of the choices
Answer: f   ( − x ) = − f   ( x )
5. Which of the following statements is true?
The graph of an even function is symmetric with respect to the x-axis.
The graph of an odd function is symmetric with respect to the y-axis.
The graph of an even function is symmetric with respect to the origin.
None of the choices
Answer: None of the choices
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