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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. (3 points)

Part B: Compare the data in the table with the relation f(x) = 7x − 15. Which relation has a greater value when x = 6? (2 points)

Part C: Using the relation in Part B, what is the value of x if f(x) = 6? (5 points)

Respuesta :

Christinecoconnor
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

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