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
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