Question

Which of the following points does not lie on the graph of y=32x?

(-1,-9)
(1,9)
(1/2,3)

Answer 1

The first thing we are going to do for this case is to rewrite the function.
We have then:
y = 3 ^ (2x)
We evaluate the points:

For (1,9):
y = 3 ^ (2 * 1)
y = 3 ^ (2)
y = 9
The point belongs to the function.

For (1/2, 3):
y = 3 ^ (2 * (1/2))
y = 3 ^ (1)
y = 3
The point belongs to the function.

For (-1, -9):
y = 3 ^ (2 * (- 1))
y = 3 ^ (- 2)
y = 1/9
The point does NOT belong to the function.

Answer:
The point (-1, -9) DOES NOT belong to the function.