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xeze [42]
3 years ago
13

Determine whether each of these functions is a bijection from R to R.

Computers and Technology
1 answer:
andreev551 [17]3 years ago
3 0

Answer:

Explanation:

To check whether the given functions are bijections or not.

a) f(x) = -3x+4\\

For x1 and x2 if f(x1)=f(x2)\\-3x1+4 =-3x2+4\\x1=x2

Hence one to one

For any given f(x) we have

x=\frac{4-f(x)}{3} hence co domain = range. Thus onto

Hence bijection.

b) f(x) = -3x^2+7

Let x =a and x=-a

We get

f(a) = -3a^2+7\\f(-a) = -3a^2+7\\f(a) = f(-a) for all a

Hence f is not one to one

Not bijective.

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Its only shifted by 3 so it didn't take long to find

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6 0
4 years ago
6. Larger Than n In a program, write a function that accepts two arguments: a list, and a number n. Assume that the list contain
Reika [66]

Answer:

The solution code is written in Python

  1. def largerThanN(myList, n):
  2.    output = ""
  3.    for x in myList:
  4.        if(x > n):
  5.            output += str(x) + " "
  6.    
  7.    print(output)
  8. l = [5, 12, 11, 4, 56, 32]
  9. n = 15
  10. largerThanN(l, n)

Explanation:

Firstly, create a function largerThanN that accepts two arguments, a list (myList) and a number (n) (Line 1).

Next, create a output variable to hold the string of numbers in the list that are greater than the input number n (Line 2).

Create a for loop to traverse through each number in the list and then check if the current x is bigger than n. If so concatenate the x to output string along with a single space " " (Line 4 -6)

After the loop, print the output string (Line 8)

We test the function by using a sample list and n = 15 (Line 10 - 12). The program will display 56 32 .

6 0
3 years ago
In order to paint a wall that has a number of windows, we want to know its area. Each window has a size of 2 ft by 3 ft. Write a
Oksana_A [137]

Answer:

The program in Java will be:

import java.util.Scanner;

public class Paint

{

   public static void main(String[] args)

   {

       final int COVERAGE = 350;  //paint covers 350 sq ft/gal

       final int DOOR = 20;

   final int WINDOW = 15;    

   //declare integers length, width, and height;

   int length, width, height, doors, windows;

   //declare double totalSqFt;

   double totalSqFt;

       //declare double paintNeeded;

   double paintNeeded;

     //declare and initialize Scanner object

   Scanner scan = new Scanner (System.in);

   //Prompt for and read in the length of the room

   // finish this -- length =  

   System.out.print("Enter the length of the room: ");

   length = scan.nextInt();

   //Prompt for and read in the width of the room

       System.out.print("Enter width: ");

   width = scan.nextInt();

       //Prompt for and read in the height of the room

   System.out.print("Enter height: ");

   height = scan.nextInt();

       //Prompt for and enter the number of doors    

   System.out.println("Enter the number of doors: ");

   doors = scan.nextInt();

   //Prompt for and enter the number of windows

   System.out.println("Enter the number of windows: ");

   windows = scan.nextInt();

   //Compute the total square feet to be painted--think

      //about the dimensions of each wall

       totalSqFt = 2 * width * height + 2 * length * height - DOOR*doors - WINDOW*windows;

       //Compute the amount of paint needed

       paintNeeded = totalSqFt / COVERAGE;

       //Print the length, width, and height of the room and the

       //number of gallons of paint needed.

   System.out.println("Length= " + length + "\nWidth= " + width +  "\nHeight= " + height + "\nNumber of doors: " + doors + "\nNumber of windows: " + windows + "\nGallons of Paint Needed= " + paintNeeded);

   

   }

}

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4 years ago
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Answer:

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Top down is better as basic information is present and resources can be utilized effectively without impacting maintennance and operations.

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denpristay [2]

With a centralized database system, the databases used by the system are all located on a single computer, such as a server or mainframe computer.

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Advantages of DBMS approach are low level of redundancy, faster response time, lower storage requirements, easier to secure, increased data accuracy. Disadvantage of DBMS approach is increased vulnerability (backup is essential).

To learn more about database systems refer to:

brainly.com/question/518894

#SPJ4

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2 years ago
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