Exponential Functions
Exponential function
An exponential function w/base b has the form f(x)n=ab^x, where x is any real number and b are real number constant such as that a cannot=0, b is positive, and b cannot =1.
An exponential function w/base b has the form f(x)n=ab^x, where x is any real number and b are real number constant such as that a cannot=0, b is positive, and b cannot =1.
Compound Intrest Formula
formula
Application
Continuous Compound Intrest Formula
P= invested
r= intrest rate
A= balance
t= years
r= intrest rate
A= balance
t= years
Exponential Growth and Decay
Growth
Domain: (-infinity, infinity) Range:(0, infinity)
y-intercept: 1 x- intercept: none
Extrema: none Asymptote: x- axis
Domain: (-infinity, infinity) Range:(0, infinity)
y-intercept: 1 x- intercept: none
Extrema: none Asymptote: x- axis
Decay
Domain: (-inf., inf.) Range: (0, inf.)
y-int.: 1 x-int. none
Extrema:none Asymptote: X-axis
Domain: (-inf., inf.) Range: (0, inf.)
y-int.: 1 x-int. none
Extrema:none Asymptote: X-axis
Inital Quantity
rate= r or k
Final Amount= N
time= t
Final Amount= N
time= t