Calculus Ch. 1.2 Classwork Problems Evaluating limits Graphically

16)   2

17)   -5

18)   doesn't exist

19)   doesn't exist

20)  doesn't exist

21)   3

22)   4

23)   6

Step-by-step explanation:

16) as you move towards -9, the function adopts the value 2

17) as one moves towards x = -6 , from both sides (right and left) the function goes to the value -5

18) As one moves towards x = -4 (from the right and from the left, the functions seems to diverge towards + ∞. So normally the convention for limits stipulates: Undefined or Doesn't exist

19) f(-4) doesn't exist (for same reasons as above (there is a singularity here)

20) As one moves towards 2 from the right, the function gets towards the value 3, while approaching from the left the function goes towards the value 5. So formally we say that the limit doesn't exist (from the left and from the right limits don't agree)

21) f(2) is the well defined value of 3

22)  approaching x= 4 from the right and from the left both lead towards the value 4.

23) f(4) is 6