The table shows the outputs y for different inputs x:
input
(x) 2 4 6 8
output
(y) 1 2 3 4
part a: do the data in this table represent a function? justify your answer. (3 points)
part b: compare the data in the table with the relation f(x) = 3x – 10. which relation has a greater value when x = 8? (2 points)
part c: using the relation in part b, what is the value of x if f(x) = 80? (5 points)
!

A.   The data in the table represent a function. y=x/2. This is seen as for every value of x in the table, y=x/2(half of it). You can show this further by trying this fact on each value.

B.   For the original function, when x =8, y=x/2=4
For the function given in this part, when x=8, y=3(8)-10
                                                                 y=24-10                                                                                                            y=14
     This means the relation given in this part has a greater value when x=8

C. When x=80, f(x)=3(80)-10
                           =240-10
                           =230 

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