MA129| MA129 D, E, BR Midterm actual sample with answers
Prev year 2025 Intro calculus |WILFRID LAURIER
UNIVERSITY|WATERLOO & BRANTFORD, ONTARIO
WILFRID LAURIER UNIVERSITY WATERLOO & BRANTFORD,
ONTARIO
Term: Winter 2025, Midterm Test
Course Code: MA129 D, E, BR
Course Title: Introductory Calculus for
Business & Social Sciences Test Code: 275
Instructor: Dr. L. Howe
Number of Question Pages: 6 plus cover page
Length of Test: 80 minutes
Test Aids Allowed: Casio FX300MS Plus calculator
Test Total: 20 marks.
Instructions:
This test package contains 3 items, stapled together in the following order:
1. The test questions, containing 20 multiple-choice questions.
, 2. A bubblesheet, to record your name, Laurier ID, and answers to the questions.
3. 3 sheets of scrap paper, for calculations.
After the test has begun, you may tear off the bubblesheet and scrap paper.
At the end of the test, hand in only the bubblesheet, making sure that your name and ID
are written clearly in the spaces provided. Make sure to keep the question sheets, including
this cover page, as you will need your test code and the questions to compare with the posted
answer key to find out where you made any errors.
Note that questions are printed on both sides of the test pages.
, MA129 Midterm – Winter 2025 Page 1 of 6
1. On the left below is part of the graph of a function f (x), defined on all of R. (The graph
continues beyond what is shown in the obvious way: extend the lines beyond the edges of axes
shown.) On the right is the graph of the same function after a sequence of transformations
has been performed. Those transformations include one or more of the following: a horizontal
translation; a vertical translation; a reflection in the x-axis; a reflection in the y-axis. Which
of the options given below is a correct formula for the transformed function?
8 8
6 6
4 4
2 2
−8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8
−2 −2
−4 −4
−6 −6
−8 −8
A) −f (x + 3) − 6
B) f (−x − 3) + 6
C) f (−x + 3) − 6
D) −f (x − 3) − 6
E) f (−x − 3) − 6
2. Which of the given statements is true based on the graph of y = f (x) shown below.
3
(I) lim f (x) exists
x→2
2
(II)
lim f (x) and lim f (x)
1 x→2− +x→2
both exist
1 2 3 4
A) There is not enough information
B) Both (I) and (II) are true
C) Neither (I) nor (II) is true
D) (I) is true but (II) is false
E) (II) is true but (I) is false
Prev year 2025 Intro calculus |WILFRID LAURIER
UNIVERSITY|WATERLOO & BRANTFORD, ONTARIO
WILFRID LAURIER UNIVERSITY WATERLOO & BRANTFORD,
ONTARIO
Term: Winter 2025, Midterm Test
Course Code: MA129 D, E, BR
Course Title: Introductory Calculus for
Business & Social Sciences Test Code: 275
Instructor: Dr. L. Howe
Number of Question Pages: 6 plus cover page
Length of Test: 80 minutes
Test Aids Allowed: Casio FX300MS Plus calculator
Test Total: 20 marks.
Instructions:
This test package contains 3 items, stapled together in the following order:
1. The test questions, containing 20 multiple-choice questions.
, 2. A bubblesheet, to record your name, Laurier ID, and answers to the questions.
3. 3 sheets of scrap paper, for calculations.
After the test has begun, you may tear off the bubblesheet and scrap paper.
At the end of the test, hand in only the bubblesheet, making sure that your name and ID
are written clearly in the spaces provided. Make sure to keep the question sheets, including
this cover page, as you will need your test code and the questions to compare with the posted
answer key to find out where you made any errors.
Note that questions are printed on both sides of the test pages.
, MA129 Midterm – Winter 2025 Page 1 of 6
1. On the left below is part of the graph of a function f (x), defined on all of R. (The graph
continues beyond what is shown in the obvious way: extend the lines beyond the edges of axes
shown.) On the right is the graph of the same function after a sequence of transformations
has been performed. Those transformations include one or more of the following: a horizontal
translation; a vertical translation; a reflection in the x-axis; a reflection in the y-axis. Which
of the options given below is a correct formula for the transformed function?
8 8
6 6
4 4
2 2
−8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8
−2 −2
−4 −4
−6 −6
−8 −8
A) −f (x + 3) − 6
B) f (−x − 3) + 6
C) f (−x + 3) − 6
D) −f (x − 3) − 6
E) f (−x − 3) − 6
2. Which of the given statements is true based on the graph of y = f (x) shown below.
3
(I) lim f (x) exists
x→2
2
(II)
lim f (x) and lim f (x)
1 x→2− +x→2
both exist
1 2 3 4
A) There is not enough information
B) Both (I) and (II) are true
C) Neither (I) nor (II) is true
D) (I) is true but (II) is false
E) (II) is true but (I) is false
