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Chapter 2: Q42. (page 94)

Graph each function. Identify the domain and range.

f(x)=[[x]]

Short Answer

Expert verified

The domain of the function is all real numbers and range is all nonnegative whole numbers.

The graph of the function is shown below:

Step by step solution

01

Step-1 – Domain and range of the function.

The domain of the function is the set of all input values and range of the function is the set of all output values.

02

Step-2 – Determine the domain and range.

Consider the given function f(x)=[[x]]

It can be observed that the domain of the function is the set of all real values because the function can take any value of x.

Here, the function is greatest integer as well as absolute value it means it will produce all nonnegative whole numbers.

Therefore, the range is the set of all nonnegative whole numbers.

03

Step-3 – Draw the table.

Make the table for different value of x.

04

Step-4 – Graph the function.

The graph of the function is:

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Most popular questions from this chapter

Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function.

y=2x+1

State the domain and range of each relation. Then graph the relation and determine whether it is a function.

65. 0,2,1,3,2,-1,1,0

Find each value if fx=5x-9

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Determine whether each relation is a function. Write yes or no.

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.


y=2x-5
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