Identifying Functions using Mapping Diagrams

Q.

What is a function and not a function?

Q. Which of the diagram given below represents a function?

1. 
2. 
3. 
4. None of the above

Q. Which of the following function satisfy given mapping diagram.


Given that $x\in \text{Domain}\&y\in \text{Range}$

1. $y=\sqrt{x}$
2. $y=x^2$
3. $y=x^3$
4. $y+x^2=0$

Q. The rule: $y=x^2$ on specified domain and range below


is?

1. Function
2. Relation
3. Neither relation nor function

Q. Consider a relation from set $X$ to set $Y$ such that $y=\frac{1}{x}.$ where $x\in X\&y\in Y$
$X:\{2,.25,100\}Y:\{0.5,4,0.01\}$

Is it a function or a relation?

1. Yes. It is a function.
2. It is a relation but not a function.
3. It is a special type of relation.

Q.

Determine whether relation is function.

Q. Consider the following domain and range for the relation from set $X$ to set $Y$ such that $x-y=2n;\text{where}n\text{is a integer}$.
$X:\{4,5,6,7\}Y:\{2,6,7,9\}x\in X\&y\in Y$
Is this a function?

1. Yes. It is a function as the number of elements of domain equals the number of elements in $y.$
2. No. It is not a function.

Q. Which of the following function satisfies the given mapping diagram?

1. $y=x^2+x$
2. $y=x(x+1)$
3. $y=\frac{x^3+x^2}{x}$

Q. The rule: $y=x$ on specified domain and range below


is ?

1. Function
2. Not a function

Q. From set of real numbers to set of real numbers, relations is given: 2y = 3x - 2 where $x\in R,y\in R$ generate the mapping diagram and identify whether it is a function or not. Answer in Yes/ No.