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
3369 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Use de Moivre's theorem to calculate an expression for sin(5x) in terms of sin(x) only.
Find the four complex roots of the equation z^4 = 8(3^0.5+i) in the form z = re^(i*theta)
The cubic equation 27(z^3) + k(z^2) + 4 = 0 has roots α, β and γ. In the case where β=γ, find the roots of the equation and determine the value of k
A curve has equation y=(2-x)(1+x)+3, A line passes through the point (2,3) and the curve at a point with x coordinate 2+h. Find the gradient of the line. Then use that answer to find the gradient of the curve at (2,3), stating the value of the gradient