Thanks for your brilliant work! Here is the timeline for different graphs in the video: Linear graphs, 0:39 Polynomial x^2, x^3, x^4 graphs, 1:48 Factorized form of quadratic and cubic, 2:34 Factorized form with repeated factors, 3:46 Reciprocal graphs, 5:36 Square-root graph, 6:27 Exponential graphs, 7:11 Logarithmic graphs, 8:39 Trigonometric graphs, 9:56 Inverse Trig. graphs, 12:37 Modulus graph, 15:28 Circles, 16:44 Parametric curve, 18:53
In what cause do u plot min and max points as I'm doing differentiation so when sketching do I have to work out min max then factories to get roots as well as intersection points with x and y axes please help not sure what to do if asked to sketch Please help
I would only aim to find the coordinates of stationary points and add them to my sketch IF the question asked me to do so. If I was asked to sketch y = (x+1)(x-3)(x-4), for example, then I wouldn't bother - the question would have to have many more marks attached to account for it.
I don't see why not - you're effectively just performing the replacement method for graph transformations. So if a curve was defined by x = e^t y = t^2 and you wanted to stretch it parallel to the x-axis, factor 1/2, then replace the x with 2x and you get: 2x = e^t y = t^2 or: x = (1/2)e^t y = t^2 Which book are you using? And have there been other things in the book that make you feel it's not examinable?
For the cubic you say as it is positive it starts from the bottom left. I always just start from the top right, is it always the same or only in special cases
Well I guess you're just drawing it backwards, so +x^3 'starts' in the top right, and -x^3 'starts' in the bottom right for the way you're looking at it.
