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Which of the following statements is true regarding the function f(x) = x^2?

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Question: Which of the following statements is true regarding the function f(x) = x^2?

Options:

  1. It is a linear function.
  2. It is a quadratic function.
  3. It is a constant function.
  4. It is an exponential function.

Correct Answer: It is a quadratic function.

Solution: 

The function f(x) = x^2 is a quadratic function because it can be expressed in the form ax^2 + bx + c.

Which of the following statements is true regarding the function f(x) = x^2?

Practice Questions

Q1
Which of the following statements is true regarding the function f(x) = x^2?
  1. It is a linear function.
  2. It is a quadratic function.
  3. It is a constant function.
  4. It is an exponential function.

Questions & Step-by-Step Solutions

Which of the following statements is true regarding the function f(x) = x^2?
  • Step 1: Identify the function given, which is f(x) = x^2.
  • Step 2: Recognize that the function is in the form of ax^2 + bx + c, where a = 1, b = 0, and c = 0.
  • Step 3: Understand that a quadratic function is defined as any function that can be written in the form ax^2 + bx + c.
  • Step 4: Conclude that since f(x) = x^2 fits this form, it is indeed a quadratic function.
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