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Chapter 2: Q43. (page 104)

Graph each function. Identify the domain and range.

鈥�鈥�f(x)=x-2

Short Answer

Expert verified

The graph of the equation f(x)=x-2is provided below.

The domain of the function is 鈩�and range is 鈩�.

Step by step solution

01

Step-1 – Apply the concept of greatest integer function

The greatest integer function, written as f(x)=x is defined as the greatest integer less than or equal to x.

02

Step-2 – Make a Table of values 

Make a table of values such that the values satisfy the equation f(x)=x-2.

Choose a value of x and find the corresponding value of f(x).

03

Step-3 – Graph the tabled values

The dot denotes that point is included the graph and the circle denotes that point is not included in the graph.

04

Step-4 – Find domain and range

The domain is the set of values which makes the function well defined. The range is the set of values of dependent variable.

The function f(x)=x-2is defined for all real values.

The domain of the function is 鈩�and range is set of integers 鈩�.

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