1. Consider the functions shown below.
A. $f(x) = (1.023)^x$
B. $f(x) = 320(0.95)^x$
C. $f(x) = 400(1.12)^x$
F. $f(x) = 8452(0.67)^x$
D. $f(x) = 34.9(1.11)^x$
E. $f(x) = 172(0.99)^x$
a) Which functions are increasing?
b) Which function is increasing at the fastest rate?
What is the growth rate for this function?
c) Which function is decreasing at the fastest rate?
What is the decay rate for this function?
2. Fred and Wilma purchase a home for $180,000. Using function notation, write a linear or
exponential equation for the value, $V$, of the house $r$ years after its purchase, assuming that the
value:
a) Decreases by $1,500 per year.
b) Decreases by 2% per year.
c) Increases by $3,100 per year.
d) Increases by 6% per year