What type of curves does the equation y = mx^3 + c represent?
Correct Answer: Cubic curves
- Step 1: Identify the equation given, which is y = mx^3 + c.
- Step 2: Recognize that 'm' is a number that affects the steepness and direction of the curve.
- Step 3: Understand that 'c' is a constant that shifts the curve up or down on the graph.
- Step 4: Realize that since the highest power of x is 3, this is a cubic function.
- Step 5: Note that cubic functions can have different shapes depending on the value of 'm'.
- Step 6: Conclude that the equation represents a family of curves that can look different based on 'm' and 'c'.
No concepts available.
