Write the function in standard form: (f(x)=ax^3+bx^2+cx+d)
Find the y-intercept by evaluating (f(0))
Find the x-intercepts by solving (f(x)=0)
Determine end behavior from the sign of (a)
Find turning points by solving (f'(x)=0)
Evaluate the function at the turning points
Find the inflection point by solving (f”(x)=0)
Plot the intercepts, turning points, and inflection point
Use the end behavior and key points to sketch the curve
Check symmetry if applicable
Verify the graph passes through all plotted points