
Relations and Functions
Authored by Dominic Sangma
Mathematics
12th Grade - University
CCSS covered
Used 23+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The maximum number of equi
valence relations on the set A = {1,2,3} are
1
2
3
5
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Let A = {1,2,3}. Then the number of relations containing (1,2) and (1,3) which are reflexive and symmetric but not transitive is
1
2
3
4
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Let f:ℝ-->ℝ be defined by f(x)= 1/x, for all x∈ℝ.Then f is
one one
onto
bijective
f is not defined
Tags
CCSS.HSF-BF.B.4D
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following functions from ℤ to ℤ are bijections?
f(x)=x³
f(x)=x+2
f(x)=2x+1
f(x)=x²+1
Tags
CCSS.HSF-BF.B.4D
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Let f:A-->B and g:B-->C are bijective functions. Then (gof)⁻¹ is
f⁻¹og⁻¹
fog
g⁻¹of⁻¹
gof
Tags
CCSS.HSF-BF.B.4A
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Let * be binary operation defined on ℝ by a*b=1+ab, for all a,b∈ℝ. Then the operation * is
commutative but not associative
associative but not commutative
neither commutative nor associative
both commutative and associative
Tags
CCSS.6.EE.A.3
7.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
Let ℝ be the set of real numbers and * be the binary operation defined on ℝ as a*b =a +b -ab for all a,b ∈ℝ. Then the identity element with respect to the binary operation * is__________
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