Final Answer:
asymptote - a line that a graphed function approaches but never touches
exponential growth function - an exponential function where b is greater than 1
example: f(x) = 2^x
exponential decay function - an exponential function where b is between 0 and 1
example: f(x) = (1/2)^x
EXPOENTIAL GROWTH FUNCTION (f(x) = 2^x):
- increases from left to right
- asymptote at y = 0
- domain: all real numbers
- range: y > 0
- y-intercept: (0, 1)
EXPOENTIAL DECAY FUNCTION (f(x) = (1/2)^x):
- decreases from left to right
- asymptote at y = 0
- domain: all real numbers
- range: y > 0
- y-intercept: (0, 1)
Parent Tip: Review the logic above to help your child master the concept of graphing exponential equations worksheet.