Question

Which functions are continuous at x=-3? Select all that apply. 2 answers

Answer 1

The functions have to have the same value at -3 to be continues

A

(x^2 -9)/x+3 = ( x-3)(x+3)/ (x+3) = x-3 = -3-3 = -6

at x=-3 it is -6 so this function is continuous

B

(x^2 -9)/x+3 = ( x-3)(x+3)/ (x+3) = x-3 = -3-3 = -6

at x = -3 the function is 0

The values are not the same so this is not continuous

C

( x^2 +6x+9) / (x+3) = ( x+3) (x+3) / (x+3) = x+3 -3+3 = 0

at x = -3 the value is 9 so this is not continuous

D

( x^2 +6x+9) / (x+3) = ( x+3) (x+3) / (x+3) = x+3 -3+3 = 0

at x = -3 the value is 0 so this is continuous