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
3667 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸A curve has the equation (5-4x)/(1+x)
Find the volume of revolution formed by rotating the curve y = sinx 2pie around the x- axis
State the conditions by which a Poisson distribution model may be suitable for a given random variable X.
The rectangular hyperbola H has parametric equations: x = 4t, y = 4/t where t is not = 0. The points P and Q on this hyperbola have parameters t = 1/4 and t = 2 respectively. The line l passes through the origin O and is perpendicular to the line PQ.