Question

A linear function and its inverse are given below.

y = 2x – 2
Which tables could be used to verify that the functions are inverses of each other? Check all that apply.

table A
table B
table C
table D
table E

Answer 1

I don't see the contents of tables A–E. Could you paste the (x,y) pairs in each table?

How to check once you paste them:
- First find the inverse algebraically: from y = 2x − 2, the inverse is y = (x + 2)/2 = 0.5x + 1.
- A pair of tables show inverse functions if every (x,y) in the first table corresponds to (y,x) in the second table (i.e., the tables are mirror images across y = x), or equivalently if plugging each x from one table into the inverse formula gives the y in the matching table.
- Example correct matching pairs for these two functions: (0, −2) in f and (−2, 0) in f⁻¹; (1, 0) and (0, 1); (2, 2) and (2, 2); (−1, −4) and (−4, −1).

Post the tables and I will mark which of A–E are valid.