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
Related Maths A Level answers
All answers ▸Find D when 8x^3-12x^2-2x+D is divided by 2x+1 when the remainder is -2
A small stone is projected vertically upwards from a point O with a speed of 19.6m/s. Modelling the stone as a particle moving freely under gravity, find the length of time for which the stone is more than 14.7 m above O
Integrate xsin(x) by parts between the limits of -pi/2 and +pi/2
f(x)= 2x^3 -7x^2 + 2x +3. Given that (x-3) is a factor of f(x), express f(x) in a fully factorised form.