Question

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)

Answer 1

A) Yes. When x has a different y, its a function.

B) f(6) is greater than the table

C) 7x-15=6. x=3

Answer 2

A.for it to be a function, for every input there is 1 coresponding output

so example
(1,2) and (1,3) is not a function
but (1,2) and (4,2) is

alrighty

none of the x values or inputs repeats with a different y so that's good, it's a function


B. according to the table, when x=6, y=14

for f(x)=7x-15
when x=6, then f(6)=7(6)-15=42-15=27

27>14
so f(x) has a greater value when x=6


C. f(x)=7x-15=6
7x-15=6
add 15 to both sides
7x=21
divide both sides by 7
x=3
x is 3 when f(x)=6