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Class 11 · Algebra

Maths 1A: Functions, Course Quiz

Ten questions across the whole chapter, from counting functions and quadratic ranges to inverses, domains and ranges. Pick one answer for each.

10 questions, one mark each. 6 to pass. Suggested time: 20 minutes. Your answers are not recorded.

  1. If A={2,4,5,6,7}A = \{2, 4, 5, 6, 7\} and B={q,r,v}B = \{q, r, v\}, find the number of relations from AA to BB.
  2. Find the maximum value of f(x)=−x2−4x+4f(x) = - x^{2} - 4 x + 4.
  3. Solve ∣2x−6∣≤9|2 x - 6| \le 9.
  4. Find ⌈5.6⌉−[7.3]\lceil 5.6 \rceil - [7.3].
  5. If f(x)=−2x−6f(x) = - 2 x - 6 and g(x)=x2−3g(x) = x^{2} - 3, find (f∘g)(−4)(f \circ g)(-4).
  6. The function f(x)=x4+5x3f(x) = x^4 + 5x^3 is
  7. How many onto functions are there from A={6,8,10,11}A = \{6, 8, 10, 11\} to B={b,g,h}B = \{b, g, h\}?
  8. Find the inverse of f:R→Rf : \mathbb{R} \to \mathbb{R}, f(x)=3x−1f(x) = 3 x - 1.
  9. Find the domain of f(x)=sin⁡−1(2x−4)f(x) = \sin^{-1}(2 x - 4).
  10. Find the range of f(x)=2−2x2f(x) = 2 - 2 x^{2} on [1,2][1, 2].
Unanswered questions are marked wrong.

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