Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. Give an example of a function that satisfies \(f(-1)=f(1)=0\) ...

Plotting a graph takes time. Often mathematicians just want to know the key features. These are: shape, location and some key points (such as where the graph crosses the axes or turning points).

The Etch A Sketch was never supposed to meet a Raspberry Pi, a camera, or a mathematical algorithm, but here we are. [Tekavou ...

Below is the graph of a quadratic function, showing where the function is increasing and decreasing. If we draw in the tangents to the curve, you will notice that if the gradient of the tangent is ...

While I was checking out News YCombinator website (a good source of fresh news, by the way), I came across a rather plain page (full specifications as PDF file) When I was a kid I liked to draw ...

The methods presented in this paper provide an improved technique for fitting a continuous function to discontinuous step functions so often evolving from empirical studies such as estimation of ...

Journal of Biogeography, Vol. 30, No. 6 (Jun., 2003), pp. 827-835 (9 pages) Aim This paper reviews possible candidate models that may be used in theoretical modelling and empirical studies of ...