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MATH 225 Week 5 Test SUMMER 2025

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Below is a graph which has been divided into four sections. In which of these sections is the derivative of the function always negative? Section A Section B Section C Section D Section E In section E, the function is increasing, so the derivative there is always positive. In sections A, B and C the function both increases and decreases, so the derivative is positive in some places on the interval and negative in some others. In section D, the function is only decreasing, however, so there the derivative is always negative. 5 / 5 Question 2 : 5 ptsSkip to question text. Which of the following curves is the graph of the equation

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Institution
MATH 225
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MATH 225

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Uploaded on
May 22, 2025
Number of pages
20
Written in
2024/2025
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Week 5 Test - Grade: 100%
Instructions:
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
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Questions Limits Points Due Date


20 Questions 180 Minutes 100 pts possible No due date.




Attempt 1 65% (65 of 100) Completed on 04/03/25 at 07:48PM
Attempt 2 100% (100 of 100) Completed on 04/09/25 at 03:13PM
Score for this quiz: 100% ( 100 /100)
Submitted Apr 9 at 3:13pm
This attempt took about 1 hour.

Question 1 : 5 ptsSkip to question text.

,Below is a graph which has been divided into four sections. In which of these sections is the derivative of the function always negative?




Section A
Section B
Section C
Section D
Section E
In section E, the function is increasing, so the derivative there is always positive. In sections A, B and C the function both increases and decreases, so
the derivative is positive in some places on the interval and negative in some others. In section D, the function is only decreasing, however, so there
the derivative is always negative.
5 /5


Question 2 : 5 ptsSkip to question text.
Which of the following curves is the graph of the equation
f(x)=x3−x?f(x)=x3−x?

, Since f (x) is a rational function, you need to check for asymptotes. Start by looking for vertical asymptotes by setting the denominator equal to zero.
You will find a vertical asymptote at x = 3.

Next look for horizontal asymptotes by taking the limit as the function approaches + / - infinity.

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