Pre-Calc Notes 11/17: Exponential Functions and Moose Reproduction

1) Review of nth root and rational power functions: You are to do the following problems without your chart or your calculator….

a) 3^4	b) (1024/3125)^2/5	c) 6^4	d) ^5Ö-3125
e) 9^3	f) 5^4	g) (64/729)^1/6	h) 243^-3/5
i) ^4Ö256	j) 8^3	k) 4096^5/6	l) (125/729)^-2/3
m) 6^3	n)^8Ö256	o) 2^9	p) 3^6

2) Express the surface area A of a cube as a function of its volume V and then find the volume of a cube with surface area 294 cm².

3) Open your books to pg 217 and record the properties of all exponential functions:

4) State what the difference is between exponential growth and decay functions:

5) Moose Reproduction:

a) Five years ago the moose population in Wells Gray Park in northern B.C. was 325. Today it is 450. What is the average annual rate of growth in the population if the moose reproduce once a year?

b) Studies show that the park can support a population of 750 moose. How many years will it take to reach this population if the population growth continues at the same average rate?