English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: The number of constant functions from a set containing m elements to a set containing n elements is - Mathematics

Advertisements
Advertisements

Question

Choose the correct alternative:

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

Options

  • mn

  • m

  • n

  • m + n

MCQ

Solution

n

shaalaa.com
Functions
  Is there an error in this question or solution?
Chapter 1: Sets, Relations and Functions - Exercise 1.5 [Page 47]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 1 Sets, Relations and Functions
Exercise 1.5 | Q 18 | Page 47

RELATED QUESTIONS

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:

not one-to-one but onto


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


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


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


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 owner of a small restaurant can prepare a particular meal at a cost of Rupees 100. He estimates that if the menu price of the meal is x rupees, then the number of customers who will order that meal at that price in an evening is given by the function D(x) = 200 − x. Express his day revenue, total cost and profit on this meal as functions of x


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


A simple cipher takes a number and codes it, using the function f(x) = 3x − 4. Find the inverse of this function, determine whether the inverse is also a function and verify the symmetrical property about the line y = x(by drawing the lines)


Choose the correct alternative:

The range of the function  `1/(1 - 2 sin x)` 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:

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×