Final Exam - Grade: 97.15%
Instructions:
This is a CUMULATIVE final exam. Click on “Start” to begin the Test.
This Test may be printed by clicking the Print icon at the top of the Test window AFTER starting the Test. We suggest you work
out the answers on the printed Test, then submit your answers online.
THIS IS A TIMED TEST. YOU HAVE 3 HOURS TO COMPLETE THE TEST ONCE YOU CLICK "START." You can start and stop the Test if you
need to; however, the time will continue to elapse. You can also skip questions and go back to them as needed during the test. Use the 'skip'
button to skip a question and question navigation pull-down menu to jump back to any questions you skipped.
Once you have completed the Test online, click “Submit Answers.” Your answers will be scored and the answer key with step-by-step
solutions will become available.
Questions? Reach out to us at . We’re here and happy to help.
Questions Limits Points Due Date
35 Questions 180 Minutes 100 pts possible No due date.
Attempt 1 97.15% (97.15 of 100) Completed on 04/27/25 at 08:39PM
Score for this quiz: 97.15% ( 97.15 /100)
Submitted Apr 27 at 8:39pm
This attempt took about 1 hour.
Question 1 : 2.85 pts
Let f (x) = 3 x 2 − 1. What is the average rate of change of f over the interval (1, 1.1)?
Let f (x) = 3 x 2 − 1. What is the average rate of change of f over the interval (1, 1.1)?
2.63
6.3
0.63
0.1
, f(1.1)=2.63, f(1)=2ΔfΔx=f(1.1)−f(1)1.1−1=2.63−21.1−1=0.630.1=6.3f(1.1)=2.63,
f(1)=2ΔfΔx=f(1.1)−f(1)1.1−1=2.63−21.1−1=0.630.1=6.3
2..85
Question 2 : 2.85 ptsSkip to question text.
What is the limit of the function in the graph at x = 4?
6
The limit does not exist.
8
2
As x approaches 4 from the left side, the function value approaches 6. As x approaches 4 from the right side, the function value approaches 8. These
two values are different. Thus, the limit of the function at x = 4 does not exist.
2..85
Question 3 : 2.85 ptsSkip to question text.
f(x)={4x+1, x<54x−1, x>5Evaluate limx→ 5 + f(x).f(x)={4x+1, x<54x−1, x>5Evaluate limx→ 5 + f(x).
5
The limit does not exist.
19
21
f(x)={4x+1, x<54x−1, x>5limx→ 5 + f(x)=limx→ 5 + (4x−1)=4(5)−1=20−1=19f(x)={4x+1, x<54x−1, x>5limx→ 5 +
f(x)=limx→ 5 + (4x−1)=4(5)−1=20−1=19
2..85
Question 4 : 2.85 pts
What is the average rate of change of the function y = 4x 3 − 2 between x = 2 and x = 4?
Instructions:
This is a CUMULATIVE final exam. Click on “Start” to begin the Test.
This Test may be printed by clicking the Print icon at the top of the Test window AFTER starting the Test. We suggest you work
out the answers on the printed Test, then submit your answers online.
THIS IS A TIMED TEST. YOU HAVE 3 HOURS TO COMPLETE THE TEST ONCE YOU CLICK "START." You can start and stop the Test if you
need to; however, the time will continue to elapse. You can also skip questions and go back to them as needed during the test. Use the 'skip'
button to skip a question and question navigation pull-down menu to jump back to any questions you skipped.
Once you have completed the Test online, click “Submit Answers.” Your answers will be scored and the answer key with step-by-step
solutions will become available.
Questions? Reach out to us at . We’re here and happy to help.
Questions Limits Points Due Date
35 Questions 180 Minutes 100 pts possible No due date.
Attempt 1 97.15% (97.15 of 100) Completed on 04/27/25 at 08:39PM
Score for this quiz: 97.15% ( 97.15 /100)
Submitted Apr 27 at 8:39pm
This attempt took about 1 hour.
Question 1 : 2.85 pts
Let f (x) = 3 x 2 − 1. What is the average rate of change of f over the interval (1, 1.1)?
Let f (x) = 3 x 2 − 1. What is the average rate of change of f over the interval (1, 1.1)?
2.63
6.3
0.63
0.1
, f(1.1)=2.63, f(1)=2ΔfΔx=f(1.1)−f(1)1.1−1=2.63−21.1−1=0.630.1=6.3f(1.1)=2.63,
f(1)=2ΔfΔx=f(1.1)−f(1)1.1−1=2.63−21.1−1=0.630.1=6.3
2..85
Question 2 : 2.85 ptsSkip to question text.
What is the limit of the function in the graph at x = 4?
6
The limit does not exist.
8
2
As x approaches 4 from the left side, the function value approaches 6. As x approaches 4 from the right side, the function value approaches 8. These
two values are different. Thus, the limit of the function at x = 4 does not exist.
2..85
Question 3 : 2.85 ptsSkip to question text.
f(x)={4x+1, x<54x−1, x>5Evaluate limx→ 5 + f(x).f(x)={4x+1, x<54x−1, x>5Evaluate limx→ 5 + f(x).
5
The limit does not exist.
19
21
f(x)={4x+1, x<54x−1, x>5limx→ 5 + f(x)=limx→ 5 + (4x−1)=4(5)−1=20−1=19f(x)={4x+1, x<54x−1, x>5limx→ 5 +
f(x)=limx→ 5 + (4x−1)=4(5)−1=20−1=19
2..85
Question 4 : 2.85 pts
What is the average rate of change of the function y = 4x 3 − 2 between x = 2 and x = 4?
