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Unit 1 Exam - Limits and Continuity

Last updated over 5 years ago

30 questions

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Question 1

1.

Find each limit. Show your work.

Question 2

2.

Find each limit. Show your work.

Question 3

3.

Find each limit. Show your work.

Question 4

4.

Find each limit. Show your work.

Question 5

5.

Find each limit. Show your work.

Question 6

6.

Find each limit. Show your work.

Question 7

7.

Find each limit. Show your work.

Question 8

8.

Find each limit. Show your work.

Question 9

9.

Use the piecewise function to find the indicated limits or state that the limit does not exist.

Question 10

10.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

Question 11

11.

Use the function f(x) = | x |

Question 12

12.

Use the function f(x) = | x |

Question 13

13.

Use the function f(x) = | x |

Question 14

14.

Use the function f(x) = | x |

Question 15

15.

Is the function f(x) = | x |continuous at x = 0? Justify your answer.

Question 16

16.

Find each limit or function value.

Question 17

17.

Find each limit or function value.

Question 18

18.

Find each limit or function value.

Question 19

19.

Find each limit or function value.

Question 20

20.

Find each limit or function value.

Question 21

21.

Find each limit or function value.

Question 22

22.

Find each limit or function value.

Question 23

23.

Find each limit or function value.

Question 24

24.

Identify any horizontal and vertical asymptotes. Show your work using proper notation to justify your answers.

Question 25

25.

Identify all points of discontinuity and name the type of discontinuity.

Question 26

26.

Identify all points of discontinuity and name the type of discontinuity.

Question 27

27.

Use the Intermediate Value Theorem to determine if the given function has a zero in the specified interval. Do not attempt to locate any zeros.

Question 28

28.

a vertical asymptote at x = 3.

a horizontal asymptote at y = 1/3.

a removable discontinuity at x = 3.

an infinite discontinuity at x = 3.

Question 29

29.

I only

II only

I and II

I, II, and III

Question 30

30.

The figure above shows the graph of a function f with domain 0 ≤ x ≤ 4. Which of the following statements are true?

I only

II only

I and II

I, II, and III