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Which of the following statements is true about the graph of a function that is

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Question: Which of the following statements is true about the graph of a function that is periodic?

Options:

  1. It repeats its values at regular intervals.
  2. It is always increasing.
  3. It has no maximum or minimum values.
  4. It is a straight line.

Correct Answer: It repeats its values at regular intervals.

Solution: 

A periodic function is characterized by repeating values at regular intervals, such as sine and cosine functions.

Which of the following statements is true about the graph of a function that is

Practice Questions

Q1
Which of the following statements is true about the graph of a function that is periodic?
  1. It repeats its values at regular intervals.
  2. It is always increasing.
  3. It has no maximum or minimum values.
  4. It is a straight line.

Questions & Step-by-Step Solutions

Which of the following statements is true about the graph of a function that is periodic?
  • Step 1: Understand what a periodic function is. A periodic function is one that repeats its values at regular intervals.
  • Step 2: Identify examples of periodic functions. Common examples include the sine function and the cosine function.
  • Step 3: Recognize that the key feature of a periodic function is that it has a specific period, which is the length of the interval after which the function values repeat.
  • Step 4: Conclude that any statement about a periodic function must mention this repeating nature and the regular intervals.
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