Find the \((x,y)\) coordinates of all inflection points, if any. Sketch the graph of \(y=f(x)\) using all of the above information. All relevant points must be labeled. Find the domain and ...

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

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following ...

Therefore, aim to recognise the equations and graphs of quadratics, cubics, reciprocals, exponentials and circles. Sketch \(y = x^2 + x - 6\). The quadratic factorises to give \((x + 3)(x - 2 ...