What type of curves does the equation y = mx^3 + bx + c represent?
Correct Answer: Cubic curves
- Step 1: Identify the equation given, which is y = mx^3 + bx + c.
- Step 2: Recognize that this equation is a polynomial equation of degree 3 because the highest power of x is 3.
- Step 3: Understand that a polynomial of degree 3 is called a cubic function.
- Step 4: Note that 'm', 'b', and 'c' are coefficients that can change, which means the shape of the curve can vary.
- Step 5: Conclude that the equation represents a family of cubic curves, each defined by different values of m, b, and c.
No concepts available.
