Reciprocal Function Domain And Range Interval Notation

The reciprocal function is defined as f left x right frac 1 x the domain of this function is d mathbb r left 0 right.

Reciprocal function domain and range interval notation. A brief review of interval notation. Open parentheses closed parentheses infinity imagine an 8 sideways negative infinity an 8 sideways with a negative sign in front of it and union a symbol similar to an elongated u. For example if a person has 100 to spend he or she might express the interval.

1 4 the domain and range of a function. Let us first analyze the behavior of this function in more detail. In interval notation an interval is specified by an ordered pair of numbers consisting of the left and the right endpoints of the interval.

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. In this function that can never happen 1. We can often write the domain and range in interval notation which uses values within brackets to describe a set of numbers.

The following table shows function output values for some values in left 1 infty. An interval is a connected subset of the real number line. In functions and function notation we were introduced to the concepts of domain and range.

Interval notation and set notation. It is an odd function. In interval notation there are five basic symbols to be familiar with.

This is the reciprocal function. The table below gives a summary of interval notation. Index contact.