Explain why the mapping diagram below represents a function.

Because there is only one out put for each domain this mapping diagram is a function.

Step-by-step explanation:

Two sets are involved.  There is a directional property, the relation is defined from one set called the domain on to another set called the codomain. A function is a relation that has exactly one output for each input in the domain.

the answer is a) y= 2 csc [0.5 (x+pi/2)]-1

step-by-step explanation:

answer is  

minor arc – sw

major arc – stu

semicircle – wst

i got it down chief.