10 Questions
Which of the following correctly defines an even function?
A function where f(x) = f(-x) for all x in the domain
For the function g(x) = x - 2, is it even, odd, or neither even nor odd?
Neither even nor odd
What is the range of the function h(x) = |x - 9|?
[0, ∞)
Based on the given inequality |x - 2| < 5, what is the solution set for x?
(−∞, −3] ∪ [7, ∞)
Which of the following best describes an increasing function?
A function where f(x) < f(y) whenever x < y
Which of the following best describes an odd function?
The function satisfies f(x) = -f(-x) for all x in the domain
What is the range of the function h(x) = |x - 9|?
All non-negative real numbers
Which of the following correctly defines an even function?
The function satisfies f(x) = f(-x) for all x in the domain
Based on the given inequality |x - 2| < 5, what is the solution set for x?
(−∞, −3] ∪ [7, ∞)
For the function g(x) = x - 2, is it even, odd, or neither even nor odd?
Neither even nor odd
Study Notes
Course Information
- The course is Calculus (BAS011) at Sphinx University, taught by Associate Professor Dr. Mahmoud Owais
- The course consists of 12 lectures (2 hours each) and 9 tutorial sheets (2 hours each)
Readings
- The course uses two textbooks: Stewart, J. (2015) Calculus, Brooks/Cole Publishing Company, 8th edition, and Briggs, Cochran and Gillett (2015), Calculus, Pearson, 2nd edition
Topics Covered
- Differentiation (7 lectures): Functions, Limits, Continuity, Derivatives, Application of Differentiation
- Integrations (5 lectures): Integration, Integration techniques, Definite Integral, Numerical Methods for integration
Assessment System
- 40% Final exam
- 30% Mid-term exam
- 10% Semester work
- 20% Lectures
- 10% Tutorial
Important Remarks
- Lectures notes are available, and the white board is an essential element of this course
- Students are advised to take notes in lectures, copying from the white board
- Attempting all homework problems and reviewing material before each exam is recommended
Lecture 1
- Topics covered: Inequalities, Functions, Domain and Range
- Example problem: Solving the inequality 2x + 5 < 13
- Solution: 2x + 5 < 13 ⇒ 2x < 8 ⇒ x < 4 ⇒ x ∊ (−∞, 4)
- The solution is an open interval
Get practical information about the Calculus BAS011 course at Sphinx University, including lectures, tutorials, and readings. The course covers topics such as differentiation, integration, limits, continuity, derivatives, and application of differentiation.
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