Question

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

Input (x) 1 2 3 4
Output (y)5 5 7 9



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 − 8. Which relation has a greater value when x = 4? (2 points)

Part C: Using the relation in Part B, what is the value of x if f(x) = 34? (5 points)

Answer 1

A. This is a function because there is one x value for every y value. Basically, that means every x is different, there are no repeating x's. A function can have repeating y values, just not the x ones.

B.
table : when x = 4...u already have that point (4,9)...so this value is 9.

relation :
f(x) = 2x - 8...when x = 4
f(4) = 2(4) - 8
f(4) = 8 - 8
f(4) = 0

so the greater values goes to the table....with a value of 9 <==

C. f(x) = 34

f(x) = 2x - 8
34 = 2x - 8
34 + 8 = 2x
42 = 2x
21 = x <==