Question

Which of the following could represent an exponential function of the form y=f(x)=Ab^x, where b > 1?

Answer 1

I only
II only
III only
I and II only
II and III only

Answer 2

@jim_thompson5910

Answer 3

Two hints:

1) graph the points given in each table to get the other 2 curves

2) Memorize or write down this rule:

Given y = a*b^x

* If b > 1, then the curve will grow away from the x axis as x gets larger (heading to positive infinity). So as x --> infinity, y --> infinity

* If 0 < b < 1, then the curve will decay and get closer and closer to the x axis. It will never cross the x axis though. As x --> infinity, y --> 0