## NonLinearFunctions

A function in which the minimum degree or power of the dependent variable is two is called a non-linear function and its graph will always be a curve. The most basic non-linear function is: y=x2.

Here, x is an independent variable and y is dependent on x. We can also say, y is a function of x, and written in mathematical terms this is y = f(x), so we can write our function as f(x) = x2.

To plot any graph we need to find the set of points or ordered pairs and identify the curve.

 X Y 0 0 1 1 2 4 -1 1 -2 4

In this graph, two different values of x evaluate to the same value. For example f (-2) = f(2) = 4

f (-2) = 4 means that the function evaluated at x=-2 has a value of 4 or y = 4.

#### Try these questions

1. Identify the graph of (x-3)(2x+5)

Answer: D

1. All real numbers.
2. All negative numbers.
3. All positive numbers.
4. None of these.
5. Answer: C

2. The range of the function 3x2 + 5; x ≥ - 2 is
1. All real numbers.
2. All positive numbers ≥ 17
3. All positive real numbers
4. None of these.
5. Answer: C