Question

Which graph represents a function with a growth factor of 5?

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.25), (1, 0.5).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.5), (1, 2).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.04), (0, 0.2), (1, 1).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.06), (0, 0.6), (1, 6).

Answer 1

Growth factor = ratio f(x+1)/f(x). Check each:

- A: 0.25/0.125 = 2 (growth factor 2)
- B: 0.5/0.125 = 4 (growth factor 4)
- C: 0.2/0.04 = 5 and 1/0.2 = 5 (growth factor 5)
- D: 0.6/0.06 = 10 (growth factor 10)

So the third graph (points (-1,0.04), (0,0.2), (1,1)) is the one with growth factor 5.