In the context of functions and graphs, which of the following statements best d

Practice Questions

Q1
In the context of functions and graphs, which of the following statements best describes a quadratic function?
  1. It is a linear function with a constant slope.
  2. It is a polynomial function of degree two.
  3. It is a function that can only take positive values.
  4. It is a function that has a single output for every input.

Questions & Step-by-Step Solutions

In the context of functions and graphs, which of the following statements best describes a quadratic function?
  • Step 1: Understand what a function is. A function takes an input (x) and gives an output (f(x)).
  • Step 2: Learn about polynomial functions. These are functions made up of terms that involve powers of x.
  • Step 3: Identify the degree of a polynomial. The degree is the highest power of x in the function.
  • Step 4: Recognize that a quadratic function is a polynomial function of degree two. This means the highest power of x is 2.
  • Step 5: Know the standard form of a quadratic function, which is f(x) = ax^2 + bx + c, where a, b, and c are constants.
  • Step 6: Remember that 'a' cannot be zero, because if it were, the function would not be quadratic.
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