Chapter 2: Q43. (page 104)

Graph each function. Identify the domain and range.
$f (x) = [x] - 2$

Short Answer

Expert verified

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

The domain of the function is $ℝ$ and range is $ℤ$ .

Step by step solution

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.

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 $f (x)$ .

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.

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 $f (x) = [x] - 2$ is defined for all real values.

The domain of the function is $ℝ$ and range is set of integers $ℤ$ .

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Graph each function. Identify the domain and range.
$f (x) = [x] - 2$

Short Answer

Step by step solution

Step-1 – Apply the concept of greatest integer function

Step-2 – Make a Table of values

Step-3 – Graph the tabled values

Step-4 – Find domain and range

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Graph each function. Identify the domain and range. f(x)=x-2

Short Answer

Step by step solution

Step-1 – Apply the concept of greatest integer function

Step-2 – Make a Table of values

Step-3 – Graph the tabled values

Step-4 – Find domain and range

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Pure Maths

Probability and Statistics

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Graph each function. Identify the domain and range.
$f (x) = [x] - 2$