Domain And Range Examples Numbers

Consider the relation 0 7 0 8 1 7 1 8 1 9 2 10.

Domain and range examples numbers. The domain is the set of x coordinates 0 1 2 and the range is the set of y coordinates 7 8 9 10. X 1 0 1. All real numbers except 0.

A simple function like f x x 2 can have the domain what goes in of just the counting numbers 1 2 3 and the range will then be the set 1 4 9 and another function g x x 2 can have the domain of integers 3 2 1 0 1 2 3 in which case the range is the set 0 1 4 9. Interval notation and set notation. Find the domain and range of the function y 1 x 3 5.

So the range of the function is the set of real numbers except 0. The domain of y sin x is all values of x since there are no restrictions on the values for x. F x x 2.

The range is all real values of x except 0. Thus for the quadratic function f x x 2 the domain is the set of all real numbers and the range is only non negative real numbers. The function f x x2 has a domain of all real numbers x can be anything and a range that is greater than or equal to zero.

To find the excluded value in the domain of the function equate the denominator to zero and solve for x. F x 2 x 1 solution. Here the relation is given as a set of ordered pairs.

Since the function is undefined when x 1 therefore the domain is all real numbers except 1. Set the denominator equal to zero and solve for x. Domain infty infty and range 0 infty example 2.