these questions cover exponential functions please answer all questions and please show your work so its easier to understand. (also in some questions "/" means it is a fraction and "___" means that is where the answer should go)

1)Consider the following exponential functions.

A. f(x)=4^x B.f(x)=(1/4)^x C.f(x)=2^x

1. Which is greatest when x=5?

2. Which is the greatest when x=-5?

3. For which value of x will all three functions have the same value?

4. What is that value?

2)A flu virus is spreading through the student population of a school according to the function N= 2^t, where Nis the number of people infected and tis the time, in days.

How many people have the virus at each time?

at the start when t= 0______.

after 1 day_____ people.

after 4 days_____ people.

after 10 days_____ people.

3)If a population, P, of fish experiences exponential growth at a rate of 10% per year, it can be modelled by the exponential function P(t) = 1.1^t, where tis the time, in years. If there were 1000 fish to start with, how many fish will there be at each time?

Round answers to the nearest whole number where necessary.

after 1 year_____ fish.

after 2 years______ fish.

after 10 years_______ fish.

If the same population of fish decreased at a rate of 5% per year, what would be the new base of the exponential function?______