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

Part 1.) This is indeed a function. A function means that there no x values have multiple (different) values
For example:
x y
1 4
2 6 <-- First x
3 8
2 10 <-- Different y-val from first x (2)
5 12

Part 2.) I'm assuming the relation is actually f(x) = 2x + 13. If so, input 7 as x.
f(7) = 27.
27 > 8.
Second relation has greater value when x = 7

Part 3.) Work backwards using this information
75 = 2x + 13
62 = 2x
31 = x <-- x is equal to 31