English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

If the function f is defined by f(x) = {x+2;x>12;-1≤x≤1x-1;-3<x<-1 find the value of f(0) - Mathematics

Advertisements
Advertisements

Question

If the function f is defined by f(x) = `{{:(x + 2";", x > 1),(2";", -1 ≤ x ≤ 1),(x - 1";", -3 < x < -1):}` find the value of f(0)

Sum

Solution

f(x) = x + 2 when x = {2, 3, 4, ……}

f(x) = 2

f(x) = x – 1 when x = {– 2}

f(x) = 2

f(0) = 2

shaalaa.com
Special Cases of Functions
  Is there an error in this question or solution?
Chapter 1: Relations and Functions - Exercise 1.4 [Page 25]

APPEARS IN

Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 1 Relations and Functions
Exercise 1.4 | Q 9. (ii) | Page 25

RELATED QUESTIONS

If the function f is defined by f(x) = `{{:(x + 2";", x > 1),(2";", -1 ≤ x ≤ 1),(x - 1";", -3 < x < -1):}` find the value of f(3)


If the function f is defined by f(x) = `{{:(x + 2";", x > 1),(2";", -1 ≤ x ≤ 1),(x - 1";", -3 < x < -1):}` find the value of f(2) + f(– 2)


A function f: [– 5, 9] → R is defined as follow :

f(x) = `{{:(6x + 1";", -5 ≤ x < 2),(5x^2 - 1";", 2 ≤ x < 6),(3x - 4";", 6 ≤ x ≤ 9):}` Find f(– 3) + f(2)


A function f: [– 5, 9] → R is defined as follow :

f(x) = `{{:(6x + 1";", -5 ≤ x < 2),(5x^2 - 1";", 2 ≤ x < 6),(3x - 4";", 6 ≤ x ≤ 9):}` Find f(7) – f(1)


A function f: [– 5, 9] → R is defined as follow :

f(x) = `{{:(6x + 1";", -5 ≤ x < 2),(5x^2 - 1";", 2 ≤ x < 6),(3x - 4";", 6 ≤ x ≤ 9):}` Find 2f(4) + f(8)


The function ‘t’ which map temperature in Celsius (C) into temperature in Fahrenheit (F) is defined by t(C) = F where F = `9/5` C + 32. Find, t(0)


The function ‘t’ which map temperature in Celsius (C) into temperature in Fahrenheit (F) is defined by t(C) = F where F = `9/5` C + 32. Find, t(28)


The function ‘t’ which map temperature in Celsius (C) into temperature in Fahrenheit (F) is defined by t(C) = F where F = `9/5` C + 32. Find, the temperature when the Celsius value is equal to the Fahrenheit value


Multiple Choice Question :

If {(a, 8), (6, b)} represent an identity function, then the value of a and b are respectively


Write the domain of the following real function:

f(x) = `(2x + 1)/(x - 9)`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×