What is a power functionA power function is a function of the form . This means it just consists of a number a and a power .
What should I know about its symmetry?Symmetry of power functions is simple: If the power is even, the graph of the power function is axis symmetric to the y-axis. Example:
The powers are all even, therefore the power functions are axis symmetric to the y-axis.
On the other hand, all graphs of power functions with odd exponent are point symmetric to the origin:
The powers are all odd, so the power functions are point symmetric to the origin.