Graphs & Intersections Solver

About Graphs & Intersections

Curve sketching is a skill engineering and physics students lean on almost every day. The 8 worked examples cover the standard checklist — find the domain, the x and y intercepts, the symmetry, the asymptotes (vertical, horizontal, oblique), the critical points from f′(x) = 0, the points of inflection from f″(x) = 0, and the behaviour at infinity. Two of the problems are intersection problems where two curves cross and you have to solve a system of two equations to find the exact crossing points.

What this calculator does

• Step-by-step working. Every intermediate line is shown, in the layout examiners reward in CBSE / ICSE and university scripts.
• Graphs where they help. Functions and equations are plotted so you can see the result rather than just read it.
• Verification. The answer is substituted back into the original problem so you know the working is consistent.

Frequently Asked Questions