Question

The table shows the outputs y for different inputs x:


Input
(x) 5 6 7 8
Output
(y) 2 5 8 11


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 + 13. Which relation has a greater value when x = 7? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 75? (5 points)

Answer 1

A.
Yes, because for every argument (x) there is only one corresponding value (y).

B.
$f(7)=2\cdot7+13=27$
The function $f(x) = 2x + 13$

C.
$75=2x+13\\ 2x=62\\ x=31$