For each of the following exponential functions below, state the base function and then describe the transformations which have been applied to produce the function.

7- F(x)=-3(4)^x^+1 (4 is to the power of x+1)

8- f(x)=3(1/2)^-x+2

9- f(x)=-4(2)^4x+12-1( 2 is to the power of 4x+12)

Letf(x)=3^x. Sketch each transformed function,G(x).

10- g(x) -1/2f(x)+3

11-g(x)=-2f(-3x-9)

Write a equivalent expression to each of the following functions using the indicated base.

12- f(x)=81^3x-1 (81 is to the power of 3x+1)

13-f(x)=5* 625^2^(x+1) base of 5

14- f(x)= (1/64)^x+2 (1/64 is to the power of x+2)

Write a equation to represent each of the following functions in the form Y=a*b^x+c

15- graph points (0,4), (1,7), (2,13&

16-(2,3), (1,12), (0,48)

A colony of insects doubles every 10 days. If the colony had 1920 insects today,

17-How many were there 40 days ago?

18-How many are there in 20 days?

19-How long would it take for there to be 245 760 bugs?

20-How long would it take, to the nearest decimal place, for there to be 2million bugs?

21-In 2016, Alberta had about 4.2 million people. Assuming they follow the same population growth rate, it is predicted they will have 6.65 million people in 20 years. At what rate is the province's population growing?