Question

Can you please help me with this algebra 2 question please

Answer 1

If we consider a, b and c all positive constants and b > 1, a exponential growth in general is represented by a function like:

`f(t)=a\cdot b^(ct)`

In otherwise, a exponential decay can be represent by:

`g(t)=a\cdot b^(-ct)=a\cdot((1)/(b))^(ct)`

Now we can check whose functions are similar to one of these:

h(x) = 3x + 1.3 is a linear function, therefore, this is neither exponential growth or decay;

f = 3*(4.2^x) is an exponential growth;

y = (5/6)*(7^x) is an exponential growth;

T = 0.6*(1.3^x) is an exponential growth;

W(x) = (1/8)*[(3/5)^x] is an exponential decay, since in this case we have 3/5 < 1.

K = 4.2*(0.28^x) is an exponential deacay by the same argument.