Chapter 2: Q13. (page 105)

Graph each equation or inequality
$13 . f (x) = [[3 x]] + 3$

Short Answer

Expert verified

he graph of the equation $f (x) = [[3 x]] + 3$ is

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.

For examples, $[[- 262]] = - 262, [[3.51]] = 3, [[- 2.35]] = - 3$

Step-2 – Make a Table of values

Make a table of values such that the values satisfy the equation $f (x) = [[3 x]] + 3$ .

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

Step-3 – Graph the tabled values

By using the values in the table, graph the equation.

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Graph each equation or inequality
$13 . f (x) = [[3 x]] + 3$

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

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Graph each equation or inequality13. f(x)=3x+3

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Pure Maths

Applied Mathematics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

Graph each equation or inequality
$13 . f (x) = [[3 x]] + 3$