Question

The table shows the outputs y for different inputs x:. . .

Input. (x)2468. Output. (y)1234. . .
Part A: Do the data in this table represent a function? Justify your answer. (.
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?

Answer 1

A ) The data in this table represents a function.
This function is : f ( x ) = 1/2 x
B ) f 1( 8 ) = 1/2 * 8 = 4 (also from the data in the table)
f 2( 8 ) = 3 * 8 - 10 = 24 - 10 = 14.
Second relation has a greater value when x = 8
C ) f ( x ) = 80
3 x - 10 = 80
3 x = 90
x = 90 : 3
x = 30