How to sketch a cubic function

  1. Determine intersections with the x and y axis, intersections at x axis occur when y=0 and intersections with the y axis occur when x=0.2) Differentiate function to find stationary points (by setting the differential to 0 as the gradient of the function at a stationary point=0) and the nature of the stationary points.3) Mark all of these points on your axes and sketch the function (depending on whether it is positive or negative).
AP
Answered by Anya P. Maths tutor

3571 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What does differentiation actually mean?


Solve the simultaneous equations: y+4x+1=0 and y^2+5x^2+2x=0


A curve has parametric equations: x=(t-1)^3 and y= 3t - 8/(t^2). Find dy/dx in terms of t. Then find the equation of the normal at the point on the curve where t=2.


A curve has the equation y = (1/3)x^3 + 4x^2 + 12x +3. Find the coordinates of each turning point and determine their nature.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning