Before diving into the sketching process, it's crucial to define the key characteristics that shape a graph. These characteristics act as building blocks, guiding the placement and shape of the curve.

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 \(s(t)\) ...

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