the table shows the outputs, y, for different inputs, x:
input (x) 6 12 15 25
output (y)14 15 15 16

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) = 7x − 15. which relation has a greater value when x = 6?

part c: using the relation in part b, what is the value of x if f(x) = 6?

Part A: Yes this is a function because there are no repeated x values. Each x value points to exactly one y output. You can graph each point and the graph will not fail the vertical line test.



Part B: Plug x = 6 into the f(x) function given to get
f(x) = 7x-15
f(6) = 7*6-15
f(6) = 42-15
f(6) = 27
Now compare this with the table. According to the table, when x = 6, the value of y is 14. So the f(x) value is larger than the table value when x = 6



Part C:

Replace f(x) with 6 and solve for x

f(x) = 7x-15
6 = 7x-15
6+15 = 7x-15+15
21 = 7x
7x = 21
7x/7 = 21/7
x = 3

So the final answer, for part C, is x = 3

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