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What type of function is defined by the equation y = 3x3 + 6x2 + 4x + 7?

  1. Linear

  2. Quadratic

  3. Cubic

  4. Quartic

The correct answer is: Cubic

A cubic function is defined by an equation with a variable raised to the third power. In this case, the equation y = 3x3 + 6x2 + 4x + 7 has the variable x raised to the third power, making it a cubic function. The other options are incorrect because - Linear functions have a constant rate of change and have an equation in the form y = mx + b, where m is the slope and b is the y-intercept. The given equation does not match this form. - Quadratic functions have the variable raised to the second power and have an equation in the form y = ax2 + bx + c, where a ≠ 0. The given equation has the variable raised to the third power, making it a cubic function. - Quartic functions have the variable raised to the fourth power and have an equation in the