Permutations and Combinations.pdf
2.6 MB
Permutations and Combinations Notes with practice questions
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Straight Lines and Conic sections.pdf
6 MB
Straight Lines and Conic sections Notes with practice questions
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📚 Quiz Time! 🎯
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A relation R on a set A is an equivalence relation if R is:
Anonymous Quiz
46%
Reflexive, Symmetric, Transitive
30%
Reflexive, but not Symmetric
12%
Symmetric, Transitive
12%
Reflexive, Symmetric
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The graph of the identity function f(x) = x is a:
Anonymous Quiz
24%
Parabola
61%
Straight line passing through origin
10%
Circle
5%
Hyperbola
What is the range of the signum function f(x) = sgn(x)?
Anonymous Quiz
21%
R
53%
{ -1, 0, 1 }
21%
[ -1, 1 ]
6%
Z
Let A = {1, 2} and B = {x, y}. The number of functions from A to B is:
Anonymous Quiz
27%
2
54%
4
12%
6
8%
8
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The value of the greatest integer function f(x) = [x] for x = 2.7 is:
Anonymous Quiz
31%
2.7
33%
3
29%
2
7%
0
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The domain and range of the real function f defined by f(x) = (4-x)/(x-4) is:
Anonymous Quiz
20%
Domain = R, Range = {-1, 1}
40%
Domain = R - {4}, Range = {-1}
28%
Domain = R - {4}, Range = R
12%
Domain = R - {-4}, Range = {-1, 1}
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If R is a relation on the set A = {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3)}, then R is:
Anonymous Quiz
25%
Symmetric only
38%
Reflexive only
15%
Transitive only
23%
An equivalence relation
😁1
Which of the following functions is an even function?
Anonymous Quiz
35%
f(x) = x³
31%
f(x) = sin(x)
23%
f(x) = cos(x)
10%
f(x) = tan(x)
Let f = {(1,1), (2,3), (0,–1), (–1, –3)} be a function from Z to Z defined by f(x) = ax + b, for some integers a, b. Determine a and b.
Anonymous Quiz
35%
a = 2, b = -1
42%
a = -1, b = 2
17%
a = 1, b = 2
7%
a = 2, b = 1
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