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The table shows the outputs, y, for different inputs, x:
Input (x) 3 4 5 6
Output (y) 3 4 5 6
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) = 2x + 16. 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) = 40? (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=6 as well. When x=6 in the relation f(x)=2x+16, f(x)=2(6)+16=28. The equation has a greater value when x=6.

Part C:
Set f(x) equal to 40 in the equation:
40=2x+16
Solve for x:
2x=24
x=12
x=12 when f(x)=40

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