Question

The table shows the outputs y for different inputs x:

Input
(x)5678
Output
(y)25811


Part A: Do the data in this table represent a function? Justify your answer.
Part B: Compare the data in the table with the relation f(x) = 2x + 13. Which relation has a greater value when x = 7?
Part C: Using the relation in Part B, what is the value of x if f(x) = 75?

Answer 1

Table:

x y
5 2
6 5
7 8
8 11

Part A: Do the data in this table represent a function? Justify your answer.

Yes, they do. Because for input set is related with a wll defined output, unambiguosly.


Part B: Compare the data in the table with the relation f(x) = 2x + 13. Which relation has a greater value when x = 7?

The relation f(x) = 2x + 13 results in these points

x f(x)
5 23
6 25
7 27
8 29

The relation f(x) = 2x + 13 has a greater value than the relation of the first table when x =7

Part C: Using the relation in Part B, what is the value of x if f(x) = 75?

f(x) = 2x + 13 = 75 => x = [75 - 13] / 2 = 31

if f(x) = 75, x = 31