A quadratic function always contains the x² term and a x and the shape of the graph is called a parabola. For example:
A cubic function always contains the x³ term and can also have an x² or x or a constant. The shapes of cubic graphs are as follows:
A reciprocal function always contains a fraction with a term in x in the denominator. In the example below, the axes form asymptotes as the curve never crosses or touches the x or y axis. For example:
An exponential function is a function in the form of y = aª, where a is a positive constant. This function produces an asymptote graph as shown below:
The equation of a circle
The equation of a circle is x² + y² = r² and is represented as follows:
Point to note: The equation of a circle is not called an equation but a locus.