Sketch a gradient function for each curve. 3

Step 1 ：Find the derivative of each function.

Step 2 ：For the linear function \(y = mx + b\), the gradient function is \(y' = m\).

Step 3 ：For the quadratic function \(y = ax^2 + bx + c\), the gradient function is \(y' = 2ax + b\).

Step 4 ：For the cubic function \(y = px^3 + qx^2 + rx + s\), the gradient function is \(y' = 3px^2 + 2qx + r\).

Step 5 ：\(\boxed{\text{Final Answer:}}\)

Step 6 ：1. Linear function: \(y' = m\)

Step 7 ：2. Quadratic function: \(y' = 2ax + b\)

Step 8 ：3. Cubic function: \(y' = 3px^2 + 2qx + r\)