Question

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)

PLEASE HELP!!!!!!!!!!!

Answer 1

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