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Class 11

Relations and Functions — Course Quiz

Ten questions across the whole Relations and Functions course. Pick one answer for each.

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

  1. Find xx and yy if (x−1,y+2)=(3,−4)(x - 1, y + 2) = (3, -4).
  2. A={a,b,c}A = \{a, b, c\} and B={1,2,3,4}B = \{1, 2, 3, 4\}. Find n(A×B)n(A \times B).
  3. On {1,2,…,6}\{1, 2, \ldots, 6\}, R={(a,b):b=2a}R = \{(a, b) : b = 2a\}. What is the domain of RR?
  4. Which graph is NOT the graph of a function of xx?
  5. What is the range of the signum function?
  6. Evaluate [−1.2]+[2.7][-1.2] + [2.7].
  7. Find the domain of f(x)=x+2x2−5x+6\displaystyle f(x) = \dfrac{x + 2}{x^2 - 5x + 6}.
  8. f(x)=x2+1f(x) = x^2 + 1 and g(x)=x−2g(x) = x - 2. Find (f−g)(x)(f - g)(x).
  9. Find the range of f(x)=4−x2f(x) = 4 - x^2.
  10. A linear function has f(0)=3f(0) = 3 and f(2)=7f(2) = 7. Find f(x)f(x).
Unanswered questions are marked wrong.

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