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)

Answer 1

A. yes...the data is a function because for every x value, there is only one y value.

B. f(x) = 3x - 10...when x = 8
    f(8) = 3(8) - 10
    f(8) = 24 - 10
    f(8) = 14
  
   the table : wen x = 8, y = 4

    f(x) = 3x - 10 has a greater value

C. 80 = 3x - 10
    80 + 10 = 3x
    90 = 3x
    90/3 = x
    30 = x