English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Let A = {1, 2, 3, 4} and B = {a, b, c, d}. Give a function from A → B of the following: one-to-one but not onto - Mathematics

Advertisements
Advertisements

Question

Let A = {1, 2, 3, 4} and B = {a, b, c, d}. Give a function from A → B of the following:

one-to-one but not onto

Sum
Advertisements

Solution

Not possible

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets, Relations and Functions - Exercise 1.3 [Page 37]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 1 Sets, Relations and Functions
Exercise 1.3 | Q 5. (iii) | Page 37

RELATED QUESTIONS

Suppose that 120 students are studying in 4 sections of eleventh standard in a school. Let A denote the set of students and B denote the set of the sections. Define a relation from A to B as “x related to y if the student x belongs to the section y”. Is this relation a function? What can you say about the inverse relation? Explain your answer


Write the values of f at − 4, 1, −2, 7, 0 if

f(x) = `{{:(- x + 4,  "if" - ∞ < x ≤ - 3),(x + 4,  "if" - 3 < x < -2),(x^2 - x,  "if" - 2 ≤ x < 1),(x - x^2,  "if"  1 ≤ x < 7),(0,  "otherwise"):}`


Write the values of f at −3, 5, 2, −1, 0 if

f(x) = `{{:(x^2 + x - 5,  "if"  x ∈ (−∞, 0)),(x^2 + 3x - 2,  "if"  x ∈ (3, ∞)),(x^2,  "if"  x ∈ (0",", 2)),(x^2 - 3,  "otherwise"):}`


State whether the following relations are functions or not. If it is a function check for one-to-oneness and ontoness. If it is not a function, state why?

If A = {a, b, c} and f = {(a, c), (b, c), (c, b)}; (f : A → A)


State whether the following relations are functions or not. If it is a function check for one-to-oneness and ontoness. If it is not a function, state why?

If X = {x, y, z} and f = {(x, y), (x, z), (z, x)}; (f : X → X)


Let A = {1, 2, 3, 4} and B = {a, b, c, d}. Give a function from A → B of the following:

neither one-to-one nor onto


Find the domain of `1/(1 - 2sinx)`


Find the largest possible domain of the real valued function f(x) = `sqrt(4 - x^2)/sqrt(x^2 - 9)`


Show that the relation xy = −2 is a function for a suitable domain. Find the domain and the range of the function


If f : R → R is defined by f(x) = 3x − 5, prove that f is a bijection and find its inverse


The weight of the muscles of a man is a function of his body weight x and can be expressed as W(x) = 0.35x. Determine the domain of this function


The distance of an object falling is a function of time t and can be expressed as s(t) = −16t2. Graph the function and determine if it is one-to-one.


The function for exchanging American dollars for Singapore Dollar on a given day is f(x) = 1.23x, where x represents the number of American dollars. On the same day the function for exchanging Singapore Dollar to Indian Rupee is g(y) = 50.50y, where y represents the number of Singapore dollars. Write a function which will give the exchange rate of American dollars in terms of Indian rupee


The formula for converting from Fahrenheit to Celsius temperatures is y = `(5x)/9 - 160/9`. Find the inverse of this function and determine whether the inverse is also a function


Choose the correct alternative:

If f(x) = |x − 2| + |x + 2|, x ∈ R, then


Choose the correct alternative:

The range of the function f(x) = |[x] − x|, x ∈ R is


Choose the correct alternative:

The number of constant functions from a set containing m elements to a set containing n elements is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×