Continuity Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus/continuity/quiz/

1. 1

   Is f(x) = x² − 3 continuous at x = 2
   1. A) 1
   2. B) −2
   3. C) 2

2. 2

   Is f(x) = 1/(x − 2) continuous at x = 2

   Answer: ____________________

3. 3

   Is f(x) = x + 1x − 4 continuous at x = 1

   Answer: ____________________

4. 4

   Solve f(x) = x² for x < 2, x + 3 for x >= 2, continuous at x = 2

   Answer: ____________________

5. 5

   Solve f(x) = x² + 1 for x <= 1, 3 − x for x > 1, continuous at x = 1
   1. A) −1
   2. B) 1
   3. C) 2

6. 6

   Is f(x) = x² − 4x − 2 continuous at x = 2

   Answer: ____________________

7. 7

   F(x) = x² − 4x − 2 for x != 2, 4 for x = 2, continuous at x = 2
   1. A) 2
   2. B) 4
   3. C) −2

8. 8

   F(x) = x² − 1x − 1 for x != 1, 2 for x = 1, continuous at x = 1

   Answer: ____________________

9. 9

   F(x) = x² − 5x + 6x − 3 for x != 3, 1 for x = 3, continuous at x = 3
   1. A) −3
   2. B) 3
   3. C) 1

10. 10

    Solve f(x) = x² + 2x for x < 1, x + 2 for x >= 1, continuous at x = 1

    Answer: ____________________