Question

PLEASE HELP ME

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)

(10 points)

Answer 1

• See below

Explanation:

Part A

• According to definition of the function, the data in the table is a function. Each input value has own output and no repeat inputs.

Part B

• At x = 4, y = 9 (table)
• At x = 4, f(4) = 2*4 - 8 = 8 - 8 = 0

The relation in the table has greater value as 9 > 0

Part C

f(x) = 34, find x:

• 34 = 2x - 8
• 2x = 34 + 8
• 2x = 42
• x = 21