Question

Does the equation y=4(5.6)^x represent exponential growth? True or false.

Answer 1

True

Answer 2

@wio, aren't you going to explain why it is true? @ashlyn17, you shouldn't just accept an answer just because someone responds. Ask them why they believe it is true and try to understand the reasoning. Also, look for confirmation from other users.

Answer 3

Would you be willing to explain then?

Answer 4

Let x = 0, then let x = 1

Answer 5

if y(0) < y(1), then at least it grew on that interval.

Answer 6

Since exponential functions are one to one, they will either alway grow or always decay

Answer 7

Simply put,

b = growth rate

if 0 < b < 1, then there will be exponential decay
if b > 1, then there will be exponential growth

Answer 8

^^^ for \[\Large y = a b^x\]

Answer 9

5.6 > 1, therefore there the equation represents exponential growth.

Answer 10

Thank you!