1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maurinko [17]
3 years ago
13

Prove that the Greatest Integer Function f: R -> R given by f(x) = [x], is neither one-once nor onto, where [x] denotes the g

reatest integer less than or equal to x.
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0
F: R → R is given by, f(x) = [x]
It is seen that f(1.2) = [1.2] = 1, f(1.9) = [1.9] = 1
So, f(1.2) = f(1.9), but 1.2 ≠ 1.9
f is not one-one

Now, consider 0.7 ε R
It is known that f(x) = [x] is always an integer. Thus, there does not exist any element x ε R such that f(x) = 0.7

So, f is not onto
Hence, the greatest integer function is neither one-one nor onto.

The answer was quite complicated but I hope it will help you.
You might be interested in
The bag of rice measures between two tens
sergeinik [125]
This is not a Question 

8 0
3 years ago
Read 2 more answers
6x + 3 - 6x = 3
Elena L [17]

Answer:

0

Step-by-step explanation:

all real numbers are solutions

5 0
3 years ago
Read 2 more answers
4. Van's Deli sells hot dogs for $2 and hamburgers for $5. His daily sales goal is $200.
Brilliant_brown [7]

Answer:

the deli would have to sell 100 hot dogs or 40 burgers

Step-by-step explanation:

6 0
2 years ago
calculate the total surface area and volume a cone of base diameter 14cm and height of 5 cm ( take pi= 22/7​
arlik [135]

Answer:

surface area= 245.18. volume=256.67

Step-by-step explanation:

use the formula

sorry if im wrong

4 0
3 years ago
PPLLEEAASSEE HHEELLPP
34kurt

We simply need to find a common denominator. The common denominator between the two (LCM/Least common multiple for denominator) is 24.

Now, we multiply the numerators also. We have our new numbers: 2 8/24 for October, 12/24 for November, and 3 9/24 for December. Now, we have to add them together. 2 8/24 + 12/24 = 2 20/24

Now, add the December value to the combined October/November values.

2 20/24 + 3 9/24 = 5 29/24

Now, we need to simplify the fraction.

6 9/24

Answer: 6 3/8 inches of rain occured in the three months.

8 0
3 years ago
Other questions:
  • Which statement best describes the association between variable X and variable Y?
    8·2 answers
  • What is 88.8888889 rounded to the nearest thousandths?
    11·1 answer
  • If a set of patio furniture costs $575 and the tax rate is 10%. They are having a sale of 25% off. How much will the furniture c
    12·1 answer
  • A computer company has a special going in which all customers receive a free monitor and scanner with the purchase of a new comp
    12·1 answer
  • Determine the zeros of the function f(x) = 332 – 7x + 1.
    8·1 answer
  • -7a + 2b - 3a - 3c what is it
    13·1 answer
  • A division problem is shown below.
    14·1 answer
  • What steps would you follow in order to solve the equation?
    14·1 answer
  • Can some please help with this
    8·2 answers
  • Find the solution set the this inequality 2x -3 > 2x-5/2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!