Sketch the graphs of y = f(x), y = g(x) and find the point(s) where f and g intersect.

f and g can be any linear, quadratic or cubic equation in terms of x, with exponential functions, logarithmic functions and modulus functions etc. May also be given a specific domain given. Sketch first, starting with pre-transformations if necessary (e.g. if (x-a)^2 can do x^2 before shifting). Then to find the intersection point(s) equate f and g and rearrange for x.

TP
Answered by Tommy P. Maths tutor

3871 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I sketch a graph of a polynomial function?


A sequence is defined as: U(n+1) = 1/U(n) where U(1)=2/3. Find the sum from r=(1-100) for U(r)


f(x) = (x-5)/(x^2+5x+4), express this in partial fractions and hence find the integral of f(x) dx between x=0 and x=2, giving the answer as a single simplified logarithm.


The equation " x^3-3x+1=0 " has three real roots. Show that one of the roots lies between −2 and −1


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:

© 2026 by IXL Learning