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Non Linear Functions

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

2.

 A. All real numbers. B. All negative numbers. C. All positive numbers. D. None of these. Answer: C

3.
The range of the function  3x2 + 5; x ≥ - 2 is

 A. All real numbers. B. All positive numbers ≥ 17 C. All positive real numbers D. None of these. Answer: C