One-sided limits Quiz

Name: ______________________   Date: __________   Score: ____ / 9

9 questions. Calculator allowed. Show your working. steplyclass.com/calculus/one-sided-limits/quiz/

1. 1

   Solve f(x) = x + 1 for x < 2, 5 − x for x >= 2, limit as x -> 2

   Answer: ____________________

2. 2

   Solve f(x) = x + 3 for x < 1, 2x + 2 for x >= 1, limit as x -> 1

   Answer: ____________________

3. 3

   Solve f(x) = x² for x < 2, x + 2 for x >= 2, limit as x -> 2

   Answer: ____________________

4. 4

   Solve f(x) = x² − 1 for x < 3, 2x + 2 for x >= 3, limit as x -> 3

   Answer: ____________________

5. 5

   Solve f(x) = 4 − x for x < −1, x² + 4 for x >= −1, limit as x -> −1

   Answer: ____________________

6. 6

   Solve f(x) = 2x + 1 for x < 0, x² + 1 for x >= 0, limit as x -> 0

   Answer: ____________________

7. 7

   Solve f(x) = 6 − x for x <= 2, x² for x > 2, limit as x -> 2

   Answer: ____________________

8. 8

   Solve f(x) = x² − 3 for x < −2, 2x + 5 for x >= −2, limit as x -> −2

   Answer: ____________________

9. 9

   Solve f(x) = x² + 2x for x < 1, 5 − 2x for x >= 1, limit as x -> 1

   Answer: ____________________