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

3291 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Express f(x) = ln(x+1) as an infinite series in ascending powers of x up to the 3rd power of x


Find the stationary points of the function z = 3x(x+y)3 - x3 + 24x


How do you find the derivative of arcsinx?


I do not understand this topic and particularly this example. In the class the result was found out but I still do not get it. How did the teacher came up with this outcome?


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