I have the equation y=4x^3-2x, and I don't understand how to find its points Do you have to differentiate?
Finding points on a curve with the equation? Watch
- Thread Starter
- 26-04-2016 18:21
- 26-04-2016 18:41
No. Just to plot the curve we know we have a positive cubic.
There is no constant term and so we know the y-intercept is zero. It also factorises to 2x(2x^2-1) and so we know again there is a root at x=0 and the roots of 2x^2-1. These are x= plus or minus root 0.5= plus or minus 0.71.
So we have a positive cubic (low left to high on the right), it goes through the origin and there are roots / x-axis crossing point at +.71 and -0.71.
This is enough to sketch the graph.