How do I draw any graph my looking at its equation?

As graphs get more complicated I like to follow a few steps to make sure my graph looks as accurate as possible.
Are there x values that make the equation (y value) get Big? If for example I have 1/(x-2), as x gets closer to 2, y will get bigger. Where does the graph cross the Axis? If I substitute in x=0, what is my y value? Is there an x value that makes y=0?What happens to y when x tends to +/- Infinity? E.g. If I have y=1/x, I know y tends to 0 as x tends to +/- infinty.Where are the Turning points? Can i find the stationary points of the equation? Are they maximums or minimums?
As you can see the bold words are the important parts to remember. You can use the acronym BAIT too.

JD
Answered by Jasmin D. Further Mathematics tutor

2335 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

How do I find and plot the roots of a polynomial with complex roots on an Argand diagram? e.g. f(z) =z^3 -3z^2 + z + 5 where one of the roots is known to be 2+i


By forming and solving a suitable quadratic equation, find the solutions of the equation: 3cos(2A)-5cos(A)+2=0


Show that G = {1, -1} is a group under multiplication.


Find the eigenvalues and eigenvectors of A = ([2, 0 , 0], [0, 1, 1], [0, 3, 3])


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences