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High School Math Algebra High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Graph the function f ( x ) = the least integer greater than x . Given information: The given function is least integer greater than x . Calculation: least integer function returns a value, which is the integral “ceiling” of the number. For this reason, least integer function is also known as “ceiling” function. The value of f ( x ) is an integer n such that : f ( x ) = n ; i f n − 1 < x < n n ∈ z Least integer function which is greater than or equal to x can be denoted as [ x ) . Take some random values n plot the graph for the function. For − 4 < x ≤ − 3 , f ( x ) = [ x ) = − 3 − 3 < x ≤ − 2 , f ( x ) = [ x ) = − 2 − 2 < x ≤ − 1 , f ( x ) = [ x ) = − 1 − 1 < x < 0 , f ( x ) = [ x ) = 0 0 < x < 1 , f ( x ) = [ x ) = 1 1 < x < 2 , f ( x ) = [ x ) = 2 Plot these point on the graph. The required graph is given below:

Graph the function f ( x ) = the least integer greater than x . Given information: The given function is least integer greater than x . Calculation: least integer function returns a value, which is the integral “ceiling” of the number. For this reason, least integer function is also known as “ceiling” function. The value of f ( x ) is an integer n such that : f ( x ) = n ; i f n − 1 < x < n n ∈ z Least integer function which is greater than or equal to x can be denoted as [ x ) . Take some random values n plot the graph for the function. For − 4 < x ≤ − 3 , f ( x ) = [ x ) = − 3 − 3 < x ≤ − 2 , f ( x ) = [ x ) = − 2 − 2 < x ≤ − 1 , f ( x ) = [ x ) = − 1 − 1 < x < 0 , f ( x ) = [ x ) = 0 0 < x < 1 , f ( x ) = [ x ) = 1 1 < x < 2 , f ( x ) = [ x ) = 2 Plot these point on the graph. The required graph is given below:

Solution Summary: The author explains that the function f(x)= is the least integer greater than x.

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

15th Edition

ISBN: 9780133281163

Author: Prentice Hall

Publisher: Prentice Hall

See similar textbooks

Expert Solution & Answer

Chapter 2, Problem 2E

Solution

To find: Graph the function f(x)= the least integer greater than x .

Given information:

The given function is least integer greater than x .

Calculation:

least integer function returns a value, which is the integral “ceiling” of the number. For this reason, least integer function is also known as “ceiling” function.

The value of f(x) is an integer n such that :

f(x)=n ;if n −1<x<n n∈z

Least integer function which is greater than or equal to x can be denoted as [x) .

Take some random values n plot the graph for the function.

For −4<x≤−3 ,f(x)=[x)=−3

−3<x≤−2 ,f(x)=[x)=−2

−2<x≤−1 ,f(x)=[x)=−1

−1<x<0 ,f(x)=[x)=0

0<x<1 ,f(x)=[x)=1

1<x<2 ,f(x)=[x)=2

Plot these point on the graph.

The required graph is given below:

Chapter 2, Problem 1E

Chapter 2, Problem 3E

Chapter 2 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 2.1 - Prob. 1LC Ch. 2.1 - Prob. 2LC Ch. 2.1 - Prob. 3LC Ch. 2.1 - Prob. 4LC Ch. 2.1 - Prob. 5LC Ch. 2.1 - Prob. 6LC Ch. 2.1 - Prob. 7LC Ch. 2.1 - Prob. 8PPSE Ch. 2.1 - Prob. 9PPSE Ch. 2.1 - Prob. 10PPSE

Ch. 2.1 - Prob. 11PPSE Ch. 2.1 - Prob. 12PPSE Ch. 2.1 - Prob. 13PPSE Ch. 2.1 - Prob. 14PPSE Ch. 2.1 - Prob. 15PPSE Ch. 2.1 - Prob. 16PPSE Ch. 2.1 - Prob. 17PPSE Ch. 2.1 - Prob. 18PPSE Ch. 2.1 - Prob. 19PPSE Ch. 2.1 - Prob. 20PPSE Ch. 2.1 - Prob. 21PPSE Ch. 2.1 - Prob. 22PPSE Ch. 2.1 - Prob. 23PPSE Ch. 2.1 - Prob. 24PPSE Ch. 2.1 - Prob. 25PPSE Ch. 2.1 - Prob. 26PPSE Ch. 2.1 - Prob. 27PPSE Ch. 2.1 - Prob. 28PPSE Ch. 2.1 - Prob. 29PPSE Ch. 2.1 - Prob. 30PPSE Ch. 2.1 - Prob. 31PPSE Ch. 2.1 - Prob. 32PPSE Ch. 2.1 - Prob. 33PPSE Ch. 2.1 - Prob. 34PPSE Ch. 2.1 - Prob. 35PPSE Ch. 2.1 - Prob. 36PPSE Ch. 2.1 - Prob. 37PPSE Ch. 2.1 - Prob. 38PPSE Ch. 2.1 - Prob. 39PPSE Ch. 2.1 - Prob. 40PPSE Ch. 2.1 - Prob. 41PPSE Ch. 2.1 - Prob. 42PPSE Ch. 2.1 - Prob. 43PPSE Ch. 2.1 - Prob. 44PPSE Ch. 2.1 - Prob. 45PPSE Ch. 2.1 - Prob. 46PPSE Ch. 2.1 - Prob. 47PPSE Ch. 2.1 - Prob. 48PPSE Ch. 2.1 - Prob. 49PPSE Ch. 2.1 - Prob. 50PPSE Ch. 2.1 - Prob. 51PPSE Ch. 2.1 - Prob. 52PPSE Ch. 2.2 - Prob. 1LC Ch. 2.2 - Prob. 2LC Ch. 2.2 - 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