Without graphing, determine whether the function represents exponential growth or exponential decay. Then find the y-intercept.
f(x) = 3(0.69)*

Respuesta :

Answer:

Step-by-step explanation:

In the exponential growth/decay function,

[tex]y=a(b)^x[/tex] , a is the intial amount and b is the decay or growth rate.  As a general rule, if b is greater than 1, the equation is growth; if b is greater than 0 but less than 1, the equation is decay.

Our b value is a decimal portion of 1, so our equation is decay.

The y-intercept of any function exists where x = 0.  If we plug in 0 for x and solve for y:

[tex]y=3(.69)^0[/tex] we get that

y = 3