Determine all numbers at which the function is continuous

Answer

Please see attached image for full understanding of the solution

If we plot the function we can see that it has a discontinuity at x = 1.

Also,

If we evaluate at x = -9, we see that the values of the piecewise function in both cases are completely different.

Therefore, x = -9 is also a discontinuity.

The right answer is option a

(discontinuity at x = 1 and x = -9)

b

step-by-step explanation:

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068