- 1- MAT1514
May/June 2022
UNIVERSITY EXAMINATIONS
May/June 2022
MAT1514
Pre-Calculus (Engineering)
Duration: 2 hours Marks: 100
Examiners:
First: Ms LE Greyling
Second: Mr TW Sekgobela
Closed book examination and IRIS invigilated.
This paper consists of 5 pages.
No calculator may be used: Leave answers as fractions or roots.
Give answers of angles in radians in terms of .
22
Use in calculations where applicable.
7
Show steps in answers.
Examination rules:
1. Students must upload their answer scripts in a single PDF file (answer scripts must not be password
protected or uploaded as “read only” files).
2. NO emailed scripts will be accepted.
3. Students are advised to preview submissions (answer scripts) to ensure legibility and that the correct
answer script file has uploaded.
4. Students are permitted to resubmit their answer scripts within the allocated upload time should their
initial submission be unsatisfactory.
5. Incorrect file format and uncollated answer scripts will not be considered.
6. Incorrect answer scripts and/or submissions made on unofficial examinations platforms will not be
marked and no opportunity will be granted for resubmission.
7. Mark awarded for incomplete submission will be the student’s final mark. No opportunity for
resubmission will be granted.
8. Mark awarded for illegible scanned submission will be the student’s final mark. No opportunity for
resubmission will be granted.
9. Submissions will only be accepted from registered student accounts.
10. Students who have not utilised the IRIS proctoring tool will be subjected to disciplinary processes.
11. Students suspected of dishonest conduct during the examinations will be subjected to disciplinary
processes. UNISA has a zero tolerance for plagiarism and/or any other forms of academic dishonesty.
12. Students are provided one hour to submit their answer scripts after the official examination time.
Submissions made after the official examination time will be rejected by the examination regulations
and will not be marked. E-mail lecturer within the upload hour with screenshots of upload problem to
be assisted with a contingency link. Link closes the same time as the exam platform.
13. Students experiencing network or load shedding challenges are advised to apply together with
supporting evidence for an Aegrotat within 3 days of the examination session.
14. Students experiencing technical challenges, contact the SCSC 080 000 1870 or email
or email or refer to Get-Help for the list of additional
contact numbers. Communication received from your myLife account will be considered. Include
screenshots of your problem.
, - 2- MAT1514
May/June 2022
QUESTION 1
Given f ( x ) x 2 6 x 9 and g x x.
Find and simplify the following:
1.1 g f x (2)
1.2 g f x (2)
g
1.3 x (2)
f
1.4 g 1 x (3)
[9]
QUESTION 2
2.1 Use the graph shown below to determine the intervals on which the function are
increasing, decreasing or constant.
(3)
2.2 Determine whether the following relations is a function or not:
2.2.1 (2,1),(3, 2),(1,1),(2, 2) (1)
2.2.2 y ( x 1) 2 3 (1)
2 2
2.2.3 x y 16 (1)
3
2.3 Determine whether the lines y x 9 and 8 4 x 3 y are parallel, perpendicular
4
or neither parallel or perpendicular. (4)
[10]
May/June 2022
UNIVERSITY EXAMINATIONS
May/June 2022
MAT1514
Pre-Calculus (Engineering)
Duration: 2 hours Marks: 100
Examiners:
First: Ms LE Greyling
Second: Mr TW Sekgobela
Closed book examination and IRIS invigilated.
This paper consists of 5 pages.
No calculator may be used: Leave answers as fractions or roots.
Give answers of angles in radians in terms of .
22
Use in calculations where applicable.
7
Show steps in answers.
Examination rules:
1. Students must upload their answer scripts in a single PDF file (answer scripts must not be password
protected or uploaded as “read only” files).
2. NO emailed scripts will be accepted.
3. Students are advised to preview submissions (answer scripts) to ensure legibility and that the correct
answer script file has uploaded.
4. Students are permitted to resubmit their answer scripts within the allocated upload time should their
initial submission be unsatisfactory.
5. Incorrect file format and uncollated answer scripts will not be considered.
6. Incorrect answer scripts and/or submissions made on unofficial examinations platforms will not be
marked and no opportunity will be granted for resubmission.
7. Mark awarded for incomplete submission will be the student’s final mark. No opportunity for
resubmission will be granted.
8. Mark awarded for illegible scanned submission will be the student’s final mark. No opportunity for
resubmission will be granted.
9. Submissions will only be accepted from registered student accounts.
10. Students who have not utilised the IRIS proctoring tool will be subjected to disciplinary processes.
11. Students suspected of dishonest conduct during the examinations will be subjected to disciplinary
processes. UNISA has a zero tolerance for plagiarism and/or any other forms of academic dishonesty.
12. Students are provided one hour to submit their answer scripts after the official examination time.
Submissions made after the official examination time will be rejected by the examination regulations
and will not be marked. E-mail lecturer within the upload hour with screenshots of upload problem to
be assisted with a contingency link. Link closes the same time as the exam platform.
13. Students experiencing network or load shedding challenges are advised to apply together with
supporting evidence for an Aegrotat within 3 days of the examination session.
14. Students experiencing technical challenges, contact the SCSC 080 000 1870 or email
or email or refer to Get-Help for the list of additional
contact numbers. Communication received from your myLife account will be considered. Include
screenshots of your problem.
, - 2- MAT1514
May/June 2022
QUESTION 1
Given f ( x ) x 2 6 x 9 and g x x.
Find and simplify the following:
1.1 g f x (2)
1.2 g f x (2)
g
1.3 x (2)
f
1.4 g 1 x (3)
[9]
QUESTION 2
2.1 Use the graph shown below to determine the intervals on which the function are
increasing, decreasing or constant.
(3)
2.2 Determine whether the following relations is a function or not:
2.2.1 (2,1),(3, 2),(1,1),(2, 2) (1)
2.2.2 y ( x 1) 2 3 (1)
2 2
2.2.3 x y 16 (1)
3
2.3 Determine whether the lines y x 9 and 8 4 x 3 y are parallel, perpendicular
4
or neither parallel or perpendicular. (4)
[10]
