SAT Math: Advanced Math

What is the initial value $a$ in the exponential function $f(x) = a cdot b^x$?

Given the exponential function $f(x) = 5 cdot 3^x$, what is the initial value?

What is the range of the function $f(x) = 2 cdot 4^x$?

Which of the following functions passes through the point (1, 6) and has a y-intercept of 3?

Does $f(x) = 0.5^x$ represent growth or decay?

Which function grows faster: $f(x) = 2^x$ or $g(x) = 3^x$?

What is the equation of the asymptote of the function $f(x) = 4 cdot (1/2)^x$?

A population doubles every year. If the initial population is 10, what is the population after t years?

A car depreciates at a rate of 10% per year. If the initial value of the car is $20,000, what will be its value after 3 years?

The half-life of a radioactive substance is 10 years. How long will it take for 75% of the substance to decay?