FAST-NU Advanced Mathematics — Functions and Limits
Functions and Limits is part of the Advanced Mathematics section of FAST's BS CS/Engineering admission test (usually 50 of the 120 MCQs, 50% of the marks). It breaks into 4 subtopics, and we hold 58 FAST-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (4)
How Functions and Limits is tested
Across the 7 FAST-pattern papers on ParhaiKrlo, Functions and Limits accounts for 18 questions. It appears in all 7, about 2.6 questions a paper. The heaviest was FAST Past Paper 06, with 4 questions, and the most recent is FAST Past Paper 07, with 3.
| Paper | Questions |
|---|---|
| FAST Past Paper 07 | 3 |
| FAST Past Paper 06 | 4 |
| FAST Past Paper 05 | 3 |
| FAST Past Paper 04 | 3 |
| FAST Past Paper 03 | 2 |
| FAST Past Paper 02 | 1 |
| FAST Past Paper 01 | 2 |
Functions and Limits MCQs from the FAST-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · FAST Past Paper 07 · Functions and Limits
The domain of f(x) = √x (in real numbers) is:
- A.all real numbers
- B.x ≥ 0
- C.x > 0
- D.x ≤ 0
Show answer
Answer: B. x ≥ 0 — We cannot take the real square root of a negative number, so x ≥ 0.
- Q2 · FAST Past Paper 06 · Functions and Limits
The domain of the real function f(x) = √(x² − 5x + 6) is:
- A.2 ≤ x ≤ 3
- B.x ≥ 3 only
- C.x ≤ 2 or x ≥ 3
- D.all real x
Show answer
Answer: C. x ≤ 2 or x ≥ 3 — Need x² − 5x + 6 ≥ 0, i.e. (x − 2)(x − 3) ≥ 0. This holds outside the roots: x ≤ 2 or x ≥ 3.
- Q3 · FAST Past Paper 05 · Functions and Limits
The domain of f(x) = √(4 − x²) is:
- A.[−2, 2]
- B.(−2, 2)
- C.[0, 2]
- D.x ≥ 4
Show answer
Answer: A. [−2, 2] — Need 4 − x² ≥ 0, i.e. x² ≤ 4, so −2 ≤ x ≤ 2.