UNIT 10 EXPONENTIAL GROWTH AND DECAY REVIEW

What is the domain of the function

$$f\left(x\right)=3\left(\frac{4}{5}\right)^x+2$$ ​

​ (a)  

What is the domain and range of the function

$$f\left(x\right)=4^x-5$$

Domain: ​ (a)  

Range: ​ (b)  

A) Initial amount of Caffeine: ​​ (a)  

B) Percentage of Change : ​ (b)  

Increasing or Decreasing: ​ ​ (c)  

Equation for the Asymptote: ​ (d)  

The balance of the account is ​ (a)   at a rate of ​ ​ (b)   each year.

In the exponential function $$f\left(x\right)=ab^x$$ , what value of b will represent a decay rate of 21.5 % ?

Hint: Do not round

(a)  

Hint: use $$a\left(t\right)=$$ for your function instead of ' f(x) = ' or ' y = '

also use YART

(a)  

Draw the asymptote for the graph of each exponential function below and write the equation for the asymptote.

Equation of Asymptote:

use ' y = '

Draw the asymptote for the graph of each exponential function below and write the equation for the asymptote.

Equation of Asymptote:

use ' y = '