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.

Related Further Mathematics A Level answers

All answers ▸

Write down the equations of the three asymptotes and the coordinates of the points where the curve y = (3x+2)(x-3)/(x-2)(x+1) crosses the axes.


Given that x = i is a solution of 2x^3 + 3x^2 = -2x + -3, find all the possible solutions


write the sum cos(x)+cos(2x)+...+cos(nx) as a quotient only involving sine and cosine functions


How do I differentiate tan(x) ?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy