Forming Mapping Diagrams for a Function

Q. A relation maps a student with their birthday. 2 students in a class have same birthday is a relation.

1. True
2. False

Q. Which of the following mapped diagram satisfies given function.
$y=x^2$
Domain:$\{1,2,-1,-2,3,-3\}$
Range:$\{1,4,9\}$
Given that $x\in \text{Domain}\&y\in \text{Range}$

1. 
2. 
3. 

Q. Which of the following mapped diagram satisfies given function defined from $X$ to $Y$.
$y=\frac{2x}{x-2}X:\{1,-1,3,5\}Y:\{-2,\frac{2}{3},6,\frac{10}{3},5,-6\}$
Given that $x\in \text{X}\&y\in \text{Y}$

1. 
2. 
3. Not a function

Q. Which of the following mapped diagram satisfies given function defined from $X$ to $Y$.
$y=2x^2-2x+2$
$X:\{\frac{3}{2},\sqrt{2},-1,1,0\}$
$Y:\{2,6,\frac{7}{2},6-2\sqrt{2}\}$
Given that $x\in \text{X}\&y\in \text{Y}$

1. 
2. 
3. 

Q. Ruth wants to buy even number of candies upto 10 and she has $\$25$ in her pocket. If each candy costs $\$1.5$, then which of the following is the correct mapping diagram?

1. 
2. $\left\{\right(2,3),(4,6),(6,9),(8,12),(10,15\left)\right\}$
3. 

Q. The rule: y > x on specified domain and range belowis a .

1. Function
2. Relation
3. Neither