Math Problem Statement

Make a table listing ordered pairs for the following function. Then sketch the graph and state the domain and range. The notation ​f(x)equals​[x] refers to the step function and the output returned is the greatest integer less than or equal to x. For​ example, ​f(3.2)equals​[3.2]equals3 and ​f(0.975)equals​[0.975]equals0. ​f(x)equalsleft bracket x right bracketplus5 for 0less than or equalsxless than4 Question content area bottom left Part 1 Complete the following table of ordered pairs. x 0 0.5 1 1.5 3.5 y equals left bracket x right bracket plus 5   

Solution

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Math Problem Analysis

Mathematical Concepts

Step Functions
Domain and Range
Piecewise Functions

Formulas

f(x) = [x] + 5
Step Function: f(x) = greatest integer less than or equal to x

Theorems

Step Function Property: f(x) = floor(x)

Suitable Grade Level

Grades 9-11

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