Identifying Functions

Q.

The relation between dependent and independent variables is shown through a ___

Q.

If $R$ is the set of real numbers. Then,

Statement I: $A=\{(x,y)\in R\times R:y-x\text{is an integer}\}$ is an equivalence relation on $R$.

Statement II : $B=\{(x,y)\in R\times R:x=ay\text{for some rational number}a\}$ is an equivalence relation on $R$.

1. Statement I is correct, Statement II is correct; Statement II is not a correct explanation for Statement I

2. Statement I is correct, Statement II is incorrect

3. Statement I is incorrect, Statement II is correct

4. Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement I

Q.
The above graph is

1. Not a relation
2. Not a function
3. a function

Q. Which of the following is/are function?

1. 
2. $f:X\to YX:\{2,3,4,5\}Y:\{3,4,5,2\}f=\left\{\right(2,3),(3,5),(4,5),(5,4\left)\right\}$
3. 
4. 

Q.

Describe Domain And Range.

Q. Stark went to the restaurent and asked the waiter to bring the menu. In the menu he noticed different food items and their specific prices written besides them. Stark make the list of some of his food items in the tabular form given below:

State True/False in the below statement
The relation from food items to the prices of the food items represents a Function

Q. In class $VIII$, the number of students increased and it was very hard to manage all the students in the same section. So class Teacher of the class decided to divide students into different sections. Number of students in section $B$ was $8$ more than Half the number of students in section $A$.

Now, which of the following mapping diagram(s) represent(s) the above condition?

1. 
2. 
3. 
4. 

Q. Match the following with their correct options

1. Relation only
2. Function
3. Constant function
4. Function

Q. The function is given as
$f=\left\{\right(x,y):y=4x+2$ and $x>3$}
which of the following is the correct ordered pair of above function ?

1. $(1,2),(2,10),(-1,-2)$
2. $(7,30),(5,22),(13,54)$
3. $(4,18),(9,38),(11,46)$
4. None

Q.

Look at the figure and compare the fractions.

$\frac{1}{3}$$\square$$\frac{2}{6}$

Q. Given bunch of ordered pairs $\left\{\right(0,0),(1,-1),(1,1),(4,-2),(4,2\left)\right\}$.This is

1. Not a relation
2. Function
3. Not a Function

Q.

$x$	$y$
2	-3
3	4
2	6

This given table signifies a

1. Relation & function
2. Function
3. Relation only

Q. Vertical lines are not functions but horizontal lines are functions.

1. True
2. False

Q. $y=x^2$ is a

1. Function but not a relation
2. Relation but not a function
3. Both Relation and Function
4. Neither relation nor function

Q. Function $f=\left\{\right(2,3),(5,7),(8,15),(23,29\left)\right\}$ is given.
what are the domain and range of the given function?

1. Range is {$2,5,8,23$}
2. Range is {$3,7,15,29$}
3. Domain is {$2,5,8,23$}
4. Domain is {$3, 7, 15, 29}

Q. Given following table

$x$	$y$
-2	4
-1	2
1	2
2	4

This is

1. not a Relation
2. not a Function
3. a Function

Q.
The above graph is of

1. Relation but not a function
2. Function but not a relation
3. Both Relation and a function
4. Neither relation nor function

Q.

The range of $y=3.5x$ function is

1. $(0,\infty )$

2. $(3,\infty )$

3. $(-\infty ,\infty )$