A power function is called y=x n (read as y equals x to the power of n), where n is some given number. Special cases power functions is a function of the form y=x, y=x 2, y=x 3, y=1/x and many others. Let's tell you more about each of them.
Linear function y=x 1 (y=x)
The graph is a straight line passing through the point (0;0) at an angle of 45 degrees to the positive direction of the Ox axis.
The graph is presented below.
Basic properties linear function:
- The function is increasing and defined on the entire number line.
- It has no maximum or minimum values.
Quadratic function y=x 2
Schedule quadratic function is a parabola.
Basic properties of a quadratic function:
- 1. At x =0, y=0, and y>0 at x0
- 2. Minimum value the quadratic function reaches its vertex. Ymin at x=0; It should also be noted that maximum value the function does not exist.
- 3. The function decreases on the interval (-∞;0] and increases on the interval)