MATH 100 Mock Midterm exam
Created by: ESSC Time: 90 minutes
Instructions
1. Place your U of A Student ID card on your table or
desk.
2. The exam has 11 pages including this cover page.
Please ensure that you have all pages.
3. The exam will be marked out of 60 points. There are
7 questions. The points for each question are indicated
beside the question number.
4. Answers for questions 1 through 6 must be accom-
panied by adequate justification. Please note that
this exam will be marked electronically. Any-
thing written on the back of the pages will not
be marked.
5. For multiple-choice questions you are not required
to show your work.
6. This is a closed book exam. No books, notes,
calculators, cell phones or other electronic aids
are allowed!
1
, 1a) [5 pts] Find the domain of
3
f (x) = ln − |x − 1| + |x − 2| − |x − 3| .
2
Express the solution using interval notation.
b) [5 pts] Find an equation for the tangent line to the
1
graph of the function f (x) = √x+2 + 2x that is perpen-
dicular to the line y = − 23 x + 2.
2
Created by: ESSC Time: 90 minutes
Instructions
1. Place your U of A Student ID card on your table or
desk.
2. The exam has 11 pages including this cover page.
Please ensure that you have all pages.
3. The exam will be marked out of 60 points. There are
7 questions. The points for each question are indicated
beside the question number.
4. Answers for questions 1 through 6 must be accom-
panied by adequate justification. Please note that
this exam will be marked electronically. Any-
thing written on the back of the pages will not
be marked.
5. For multiple-choice questions you are not required
to show your work.
6. This is a closed book exam. No books, notes,
calculators, cell phones or other electronic aids
are allowed!
1
, 1a) [5 pts] Find the domain of
3
f (x) = ln − |x − 1| + |x − 2| − |x − 3| .
2
Express the solution using interval notation.
b) [5 pts] Find an equation for the tangent line to the
1
graph of the function f (x) = √x+2 + 2x that is perpen-
dicular to the line y = − 23 x + 2.
2
