Question

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

Answer 1

Part A:
Yes, the data represent a function because there is at least one x-value for every y-value.

Part B:
When x=6 in the input-output table, y=14. When x=6 in the relation f(x)=7x-15, f(x)=7(6)-15=27. The equation has a greater value when x=6.

Part C:
Set f(x) equal to 6 in the equation:
6=7x-15
Solve for x:
7x=21
x=3
x=3 when f(x)=6