Mathematics MCQ on Types of Functions for JEE and Engineering Exam 2021
MCQ on Types of Functions: To be an expert in JEE Mathematics, it is absolutely necessary to practice and be familiar will all the concepts as well as the questions of different types. This is essential to gain mastery over the subject. We have also often heard the common saying, “Practice Makes a Man Perfect”, hence students have to practice, practice and practice till they master the subject.
In this post we are providing you MCQ on Types of Functions, which will be beneficial for you in upcoming JEE and Engineering Exams.
MCQ on Types of Functions
Q1. A function f∶N→N is defined by f(x)=x^{2}+12. What is the type of function here?
a) bijective
b) surjective
c) injective
d) neither surjective nor injective
c) injective
The above function is an injective or one-one function.
Consider f(x_{1})=f(x_{2})
∴ x_{1}^{2}+12=x_{2}^{2}+12
⇒x_{1}=x_{2}
Hence, it is an injective function.
Q2. A function f:R→R is defined by f(x)=5x^{3}-8. The type of function is ________.
a) one – one
b) onto
c) many-one
d) both one-one and onto
c) many-one
The above is a many -one function.
Consider f(x_{1})=f(x_{2})
∴5x_{1}^{3}-8=5x_{2}^{3}-8
5x_{1}^{3}=5x_{2}^{3}
⇒x_{1} = ±x_{2}. Hence, the function is many – one.
Q3. A function f:R→R defined by f(x)=5x^{4}+2 is one – one but not onto.
a) True
b) False
b) False
Q4. Let A={1,2,3} and B={4,5,6}. Which one of the following functions is bijective?
a) f={(1,4),(2,5),(3,6)}
b) f={(1,4),(1,5),(1,6)}
c) f={(1,5),(2,4),(3,4)}
d) f={(2,4),(2,5),(2,6)}
a) f={(1,4),(2,5),(3,6)}
Q5. Let M={5,6,7,8} and N={3,4,9,10}. Which one of the following functions is neither one-one nor onto?
a) f={(6,4),(7,3),(7,9),(8,10)}
b) f={(5,3),(5,4),(6,4),(8,9)}
c) f={(5,3),(6,4),(7,9),(8,10)}
d) f={(5,4),(5,9),(6,3),(7,10),(8,10)}
b) f={(5,3),(5,4),(6,4),(8,9)}
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