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 graphs of \(y = 2x + 1\) and \(y = 2x - 2\) are shown below. The graph of \(y = 2x + 1\) crosses the \(y\)-axis at (0, 1). The graph of \(y = 2x - 2\) crosses the ...

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 \(f(-1)=f(1)=0\) ...

Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. A particle moves along a line with a position function \(s(t)\) ...