Exp. Growth and Decay
The function that models an account that starts with $1,000 grows 5% yearly.
What is y = 1000(1.05)^t?
The y-intercept of f(x) = 3^x
What is (0,1)?
The solution to 2^x = 8
The logarithmic form of 5^3 = 125
The function that models a bacteria culture starting at 100 and tripling every 2 hours.
What is P(t) = 100(3)^(1/2)
The function that models an account that starts with $2,000 and grows 2% monthly.
What is y = 2000(1.002)^(12t)?
The transformation applied to 2^x to create the function g(x) = 2^x + 4
What is a vertical translation of 4 units up?
The solution to 5^(x+1) = 125
What is x = 2?
The solution to log_2(x) = 4
What is x = 16?
The faster grower as x -> infinity between 2^x and x^2
What is 2^x?
The function for a car's value that decreases 12% per year, starting at $18,000
What is V(t) = 18000(0.88)^t?
The transformation applied to 4^x to create the function f(x) = 16(4)^x
What is a vertical dilation/stretch by 16?
What is x = 2?
The inverse function of f(x) = 2^x
The y-value of the function, log_2(x), when x = 8.
What is y = 3?
The function that models an population doubling every 6 years, starting at 500.
What is P(t) = 500(2)^(t/6)?
The transformation applied to 2^x to create the function h(x) = 5(2)^(x-3)
What is a horizontal translation of 3 units right and a vertical dilation/stretch by 5?
The solution to 7^(x-1) = 49
What is x = 3?
The approximate solution to ln(x) = 3
What is 20.09?
The horizontal asymptote of the function P(t) = 150(0.7)^t + 20
What is y = 20?
The number of years for $3,000 at 8% annual interest to exceed $6,000, rounded to the nearest year.
What is 9 years?
What is 1/2(4)^x - 3?
The approximate solution to 10^(3x) = 400
What is x = 0.87?
The solution to log_3(2x-1) = 4
What is x = 41?
The annual percent growth rate of a population model, P(t) = 200(1.07)^t
What is 7%?