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

Solution

Not possible

shaalaa.com
Functions
  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

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"):}`


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)`


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


If f, g : R → R are defined by f(x) = |x| + x and g(x) = |x| – x find g o f and f o g


If f, g, h are real valued functions defined on R, then prove that (f + g) o h = f o h + g o h. What can you say about f o (g + h)? Justify your answer


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 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  `1/(1 - 2 sin x)` is


Choose the correct alternative:

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


Choose the correct alternative:

The function f : [0, 2π] → [−1, 1] defined by f(x) = sin x is


Choose the correct alternative:

If the function f : [−3, 3] → S defined by f(x) = x2 is onto, then S is


Choose the correct alternative:

Let X = {1, 2, 3, 4}, Y = {a, b, c, d} and f = {(1, a), (4, b), (2, c), (3, d), (2, d)}. Then f is


Choose the correct alternative:

The inverse of f(x) = `{{:(x,  "if"  x < 1),(x^2,  "if"  1 ≤ x ≤ 4),(8sqrt(x),  "if"  x > 4):}` is


Choose the correct alternative:

The function f : R → R is defined by f(x) = sin x + cos x is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×