Question

Which is the graph of f(x) = 0.5(4)x?

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 1), (2, 8), (3, 32).
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 4), (1, 16), (2, 64).
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 1), (3, 8), (4, 16).
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 1), (1, 8), (2, 32).

Answer 1

Interpret f(x) = 0.5(4)x as f(x) = 0.5·4^x = (1/2)·4^x. Then
- f(0) = 0.5
- f(1) = 2
- f(2) = 8
- f(3) = 32

So the graph must approach y = 0 to the left and pass through (2,8) and (3,32). The only choice that matches that behavior is the first graph (the one listing points (0,1), (2,8), (3,32)).