SAT Math: Advanced Math

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?

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?

Find the exponential function that passes through the points (0, 2) and (1, 6).

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

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

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

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

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