Home
Class 12
MATHS
Prove that the function f(x) = 5x-3, is ...

Prove that the function `f(x) = 5x-3, is contNuous at x=0, at x=-3 and at x = 5`

Text Solution

Verified by Experts

The correct Answer is:
f(x) is continuous at x = 5
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section III)|3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section IV)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

Prove that the function f(x) = 5x-3 is continuous at x = 0

Prove that the function f(x) = 6x - 9 is continuous at x = 3 .

Prove that the function f(x) = x + |x| is continuous at x = 0 .

Prove that the function f(x) = 2x + 3 is continouns at x = 1 .

Prove that the function f(x)=(2x-1)/(3x+4) is increasing for all x R.

Prove that the function f defined by f(x) = x^3 + x^2 -1 is a continuous function at x= 1.

The function f(x) = 2x^3 - 6x^2 + 6x + 5 has

Prove that the function f(x) = 2x^3 - 6x^2 + 6x + 5 has no maximum or minimum.

Determine value of k so that the following function f(x) is continuous at x = 0. f(x) ={((sin 5x)/(3x)),(k):}, ((x ne 0),(x =0))

Determine the value of the constant k so that the function f(x) = {:{(kx+1, if xle 5),(3x-5, if x>5):} is continuous at x = 5.

Home
Profile