Quiz about Sets and Functions

Question 1

Let A be a finite set of size n. the number of elements in the power set of A is ___

Accepted Answer

$$2^n$$

Answer

$$n^2$$

Answer

2n

Answer

$$2n^2$$

Question 2

Let A be set of finite set of size n. The number of elements in the power set of AxA is ____

Accepted Answer

$$2^{n^2}$$

Answer

$$2^{2n}$$

Answer

$$\left(2n\right)^2$$

Answer

$$2n^2$$

Question 3

Let A and B be sets such that |A|=m and |B|=n. The set of all functions from A to B is denoted by $$B^A$$ . Then | $$B^A$$ |=___

Accepted Answer

$$n^m$$

Answer

$$m+n$$

Answer

mn

Answer

$$m^n$$

Question 4

Let A={x} and B be any set. Then | $$B^A$$ |=___

Accepted Answer

|B|

Answer

1

Answer

0

Answer

$$\infty$$

Question 5

The range of the function f:R $$\rightarrow$$ R given by f(x)=1 is

Accepted Answer

{1}

Answer

1

Answer

R

Answer

$$\phi$$

Question 6

The range of the function f:R $$\rightarrow$$ R is given by f(x)= $$x^2$$ is

Accepted Answer

$$R^+\cup\left\{0\right\}$$

Answer

R

Answer

$$R^+$$

Answer

$$R^{\cdot}$$

Question 7

The function f:R $$\rightarrow$$ R defined by f(x)=3x is ___

Accepted Answer

bijection

Answer

1-1 but not onto

Answer

not 1-1 but onto

Answer

neither 1-1 nor onto

Question 8

The function f:R $$\rightarrow$$ R defined by f(x)=x+3 is ___

Accepted Answer

$$f^{-1}\left(x\right)=3-x$$

Answer

$$f^{-1}\left(x\right)=x-3$$

Answer

$$f^{-1}\left(x\right)=\frac{1}{\left(x+3\right)}$$

Answer

$$f^{-1}\left(x\right)=\frac{1}{x}+3$$

Question 9

In ( $$Z_7$$ -{0}, $$\Theta$$ ) the inverse of 3 is ____

Accepted Answer

5

Answer

2

Answer

3

Answer

4

Sets and Functions

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