Trig Help???

Question

1. The graph of f(x)=abx with a > 0 and b > 0 has initial value ______.

Answer 1

f(x) = ab^x  is an exponential function which models a geometric sequence

 

The geometric sequence would have initial value = a;  b = rate of increase,

     f(x) = y-value;  x is the term number (0, 1st, 2nd, ...) as they appear in the sequence

 

Using this equation and a table which shows the same geometric sequence,

you can go back and forth from one to the other, stating points, etc.

Answer 2

Do you mean f(x) = ab^x?

 

"Initial value" usually means the value at time zero.  

 

f(0) = ab⁰ = a 

Answer 3

What do you mean by "initial value?"