Home
Class 11
MATHS
The relation f is defined by f(x)={{:(,x...

The relation f is defined by `f(x)={{:(,x^(2), 0 le x le 3),(,3x,3 le x le 10):}`
The relation g is defined by `g(x)={{:(,x^(2),0 le x le 2),(,3x,2 le x le 10):}`
Show that f is a function and g is not a function.

Answer

Step by step text solution for The relation f is defined by f(x)={{:(,x^(2), 0 le x le 3),(,3x,3 le x le 10):} The relation g is defined by g(x)={{:(,x^(2),0 le x le 2),(,3x,2 le x le 10):} Show that f is a function and g is not a function. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise Exercise 2.3|5 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISEON CHAPTER 25|1 Videos
  • SEQUENCES AND SERIES

    NCERT GUJARATI|Exercise Miscellaneous Exercise On Chapter 9|31 Videos

Similar Questions

Explore conceptually related problems

2 le 3x -4 le 5

Is the function defined by f(x)={{:(x+5," if "x le1),(x-5," if "x gt 1):} a continuous function?

If a function f(x) is defined as f(x) = {{:(-x",",x lt 0),(x^(2)",",0 le x le 1),(x^(2)-x + 1",",x gt 1):} then

Is the function defined by f(x)= {(x+5",","if" x le 1),(x-5",","if" x gt 1):} a continuous function?

Discuss the continuity of the function f defined by {{:(x+2," if "x le 1),(x-2," if "x gt 1):} .

Find the area of the region enclosed by {(x,y):0 le y le x^2 +1,0 le y le x+1 ,0 le x le 2}.

f(x)= {(x^(10)-1",","if" x le 1),(x^(2)",","if" x gt 1):}

f(x)= {(x^(10)-1",","if" x le 1),(x^(2)",","if" x gt 1):}

Find the values of a and b such that the function defined by f(x)={{:(5," if "x le 2),(ax+b," if "2 lt x lt 10),(21," if "x ge 10):} is a continuous function.

Examine the differentiability of f, where f is defined by f(x) = {(x.[x]",","if " 0 le x lt 2),((x-1)x,"if " 2 le x lt 3):} at x= 2