Math Editor

DRT 1

GRADE XII

Daily Revision Test -1

Chap 5 (Ex 5.1)

Answer the following: (3 X 5 = 15)

1.Examine the continuity of the function f(x) = 2x² - 1 at x= 3.

2.Find all the discontinuity of f is defined by

f(x) ={ x∣x∣​, if x≠0

0 , if x=0. }

3.Is the function

f(x) = { x+5, if x ≤ 1

x-5, if x > 1 }

a continuous function ?

4.Is the function

f(x) = x² - sin x + 5

continuous at x = π ?

5. Prove that the function f(x) = 2x - 3 continuous at x=0 and x = 1 All the best.