64.6k views
0 votes
Can you please help me with this algebra 2 question please

Can you please help me with this algebra 2 question please-example-1
User Maju
by
8.7k points

1 Answer

3 votes

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.

User Attomos
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.