Functions Test 53

Result

Functions Test 53

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Let $$X=\left\{a_{1},a_{2},a_{3},a_{4},a_{5},a_{6}\right\}$$ & $$Y=\{b_{1},b_{2},b_{3}\}$$ the number of function $$f$$ from $$X$$ to $$Y$$ such that it is onto and there are exactly three elements $$x$$ in $$X$$ such that $$f(x)=b_{1}$$ is

A
$$75$$

B
$$100$$

C
$$120$$

D
$$90$$

Solution
Question 2
1 / -0

The domain of $$f(x)={ log }_{ x }$$ 12 is

A
$$(0,\quad \infty )$$

B
$$(0,\quad 1)\cup (1,\quad \infty )$$

C
Both A and B

D
None of these

Solution
Question 3
1 / -0

The number of non-bijective mappings that can be defined from $$A={1,2,7}$$ to itself is

A
$$21$$

B
$$27$$

C
$$6$$

D
$$9$$

Solution
Question 4
1 / -0

The number of linear functions which map from $$[-1, 1]$$ onto $$[0, 2]$$ is

A
$$0$$

B
$$1$$

C
$$2$$

D
$$infinite$$

Solution
Question 5
1 / -0

The domain of definition of the function $$f(x)=\sqrt [6] {4^{x}-8^{\dfrac{2}{3}(x-2)}-52-2^{2(x-1)}}$$ is :

A
$$[1,\infty)$$

B
$$[2,\infty)$$

C
$$[3,\infty)$$

D
$$None\ of\ these$$

Solution
Question 6
1 / -0

Domain of the function
$$f ( x ) = \frac { 1 } { \sqrt { 4 x - \left| x ^ { 2 } - 10 x + 9 \right| } }$$ is

A
$$( 7 - \sqrt { 40 } , 7 + \sqrt { 40 } )$$

B
$$( 0,7 + \sqrt { 40 } )$$

C
$$( 7 - \sqrt { 40 } , \infty )$$

D
None of these

Solution
Question 7
1 / -0

If $$f:Z\rightarrow Z, f(n)=\begin{cases} n+1;\quad n\quad is\quad even \\ n-3;\quad n\quad is\quad odd \end{cases}$$ is $$ f$$ is ...........

A
only one one

B
only Onto

C
one one & Onto both

D
Neither one one nor Onto

Solution
Question 8
1 / -0

The complete set of values of $$x$$ for which the function $$f(x)=2\tan^{-1}x+\sin^{-1} \dfrac{2x}{1+x^{2}}$$ behaves like a constant function with positive output is equal to

A
$$x \in [-1,1]$$

B
$$[1,\infty)$$

C
$$(-\infty,1]$$

D
$$(-\infty, -1] \cup [1,\infty)$$

Solution
Question 9
1 / -0

The domain of $$f(x)=\sin^{-1}\left(\dfrac{3}{4+2\sin x}\right)$$ is

A
$$\left[-dfrac{5\pi}{6},\dfrac{\pi}{3}$$

B
$$\left[-dfrac{\pi}{6},\dfrac{7\pi}{6}$$

C
$$\left[-dfrac{\pi}{6},\pi$$

D
$$\left[-dfrac{\pi}{2},\dfrac{\pi}{2}$$
Question 10
1 / -0

Let $$f : R \rightarrow (-1,1)$$ be defined as $$f(x)=\dfrac {e^{x}-e^{-x}}{e^{x}+e^{-x}}$$ then $$f$$ is

A
One-one onto

B
One-one into

C
Many-one onto

D
Many-one-into

Solution