The markup on rug is $56. if the dealer uses a 35% mark up on the cost what was the cost of the rug

I would presume $91.

To solve which ordered pair lie on the graph of the given function f(x) = 128(0.5^2)

You mus substitute each ordered pair then check if it satisfy the given function

(0,1)

1 = 128(0.5^0)

1 = 128 so wrong

(1, 64)

64 = 128(0.5^1)

64 = 64 correct

(3, 16)

16 = 128(0.5^3)

16 = 16 correct

0.5 = 128(0.5^8)

0.5 = 0.5 correct