# 7-6

```Chapter 7 Vocabulary (7-6)
âĶ3.) exponential function
7-6 EXPONENTIAL
FUNCTIONS
Algebra 1
Exponential Function
âĶA function of the form ðĶ = ð â ð ðĨ , ðĪâððð ð ≠ 0, ð &gt;
0, ð ≠ 1 ððð ðĨ ðð  ð ðððð ððĒðððð.
Identifying an exponential function.
âĶ Ex. 1) Does the table or rule represent an exponential function?
âĶ 1a.)
x
0
1
2
3
y
2
6
10
14
âĶ 1b.) y = 3 â 6ðĨ
âĶ 1c.) y = 2x
Evaluating an exponential function.
âĶ Ex.2) A population of 75 foxes in a wildlife preserve quadruples in size every 15 years.
The function y = 75&middot; 4ðĨ , where x is the number of 15 year periods, models the
population growth. How many foxes will there be after 45 years?
Graphing an exponential function.
1
âĶ Ex. 3) What is the graph of ðĶ = 4 â 3ðĨ ?
Graphing an exponential model
âĶ Ex. 4 ) A solid waste disposal plan proposes to reduce the amount of garbage each
person throws out by 2% each year. This year, each person threw out an average of
1500 lb of garbage. The function ðĶ = 1500 â 0.93ðĨ models the average amount of
garbage each person will throw out each year after x years. Graph the function.
```