## MATHEMATICS FUNCTION QUIZ-5

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1. If f(2x+3)=sin⁡x+2x, then f(4m-2n+3) is equal to
•  sin⁡(m-2m)+22m-n
•  sin⁡(2m-n)+2(m-n)2
•  sin⁡(m-2n)+2(m+n)2
•  sin⁡(2m-n)+22m-n
Solution

Q2.

•  R
•  R-{0}
•  Ï•
•  None of these
Solution

Q3.  The function f:R→R defined by f(x)=(x-1)(x-2)(x-3) is
•  One-one but not onto
•  Onto but not one-one
•  Both one-one and onto
•  Neither one-one nor onto
Solution

Q4. The function f:R→R is defined by f(x)=3-x
Observe the following statements
I. f is one-one
II. f is onto
III. f is a decreasing function
Out of these, true statement are
•  Only I, II
•  Only II, III
•  Only I, III
•  I, II, III
Solution

Q5.

•  f(x)
•
1/f(x)
•  -f(x)
•  -
1/f(x)
Solution

Q6.

•  -∞< x≤0
•  -∞< x≤
e-1/e
•  -∞< x≤1
•  x≥1-e
Solution

Q7.In a function f(x) is defined for x∈[0,1], then the function f(2 x+3) is defined for
• x∈[0,1]
•  x∈[-3/2,-1]
•  x∈R
•  x∈[-3/2,1]
Solution

Q8.The domain of definition of f(x)=log10{log10(1+x3 ) },is
•  (-1,∞)
•  (0,∞)
•  [0,∞)
•  (-1,0)
Solution

Q9.Which of the following functions has period Ï€ ?
•  |-tan⁡x |+cos⁡2 x
•  2 sin⁡
Ï€ x/3
+3 cos⁡
2Ï€ x/3
•  6 cos⁡(2 Ï€ x+
Ï€ /4
)+5sin⁡(Ï€ x+
3Ï€/4
)
•  |tan⁡2x |+|sin⁡4x |
Solution

Q10.

•  a=c
•  b=d
•  ab=cd
Solution

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