Question

Which of the following are NOT a quadratic function? *
f(x) = -5x - 3x^2
f(x) = 3x + 5
f(x) = 3x^3 - 4x^2 + 5
f(x) = -3x^2

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

f(x) = 3x³ - 4x² + 5 is not a quadratic equation? (option 3).

What is a quadratic equation?

• Any equation which can be expressed as

                                  ax² + bx + c =0

where x is a variable and the value of a,b and c is known, is called a quadratic equation.

• The highest power in a quadratic equation is 2.

• In the given functions:

1. f(x) = -5x -3x²: It is quadratic as the term x² is present with coefficient -3.
2. f(x) = 3x + 5: This can be expressed as a quadratic if we assume the coefficient of x² to be 0.
3. f(x) = -3x²: In this case, as in part (1), the term x² has coefficient -3, so it is quadratic.

Why is f(x) = 3x³ - 4x² + 5 not a quadratic equation?

• This equation cannot be classified as a quadratic equation because its highest power is 3. (x³)
• This type of equation is called a cubic equation.

Thus, f(x) = 3x³ - 4x² + 5 is the correct option.