Question

check continuity at   x= 0 , x=2 for the first function and at x= 0 and x=3 for the second function.                                                                                                                                                                                       

Answer 1

Answer:

First function:

f(0) = 6, so this function is continuous at

x = 0.

f(2) = 6

2² + 1 = 4 + 1 = 5, so this function is not continuous at x = 2.

Second function:

f(0) = 7, so this function is continuous at

x = 0.

f(3) = 7

3² - 1 = 9 - 1 = 8, so this function is not continuous at x = 3.