Question

Which is the graph of f(x) = 5(2)x?

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 20).
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 50).
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 10).
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 10).

Answer 1

The first one.

Reason: f(x)=5·2^x gives f(0)=5 and f(2)=5·2^2=20, and as x→−∞ the graph approaches y=0. The other choices have wrong y-values at x=0 or x=2.