Use the information about Women’s basketball, algebra homework help

Use the information about Womens basketball on

page 518

to explain how an exponential function can be used to describe the teams in a tournament. Include an explanation of how you could use the equation y = 2x to determine the number of rounds of tournament play for 128 teams and an example of an inappropriate number of teams for a tournament

9-1
Exponential Functions
GET READY for the Lesson
Main Ideas
• . Graph exponential
functions.
• Solve exponential
equations and
inequalities
New Vocabulary
exponential function
exponential growth
exponential decay
exponential equation
exponential inequality
The NCAA women’s
basketball tournament
2006 NCAA Women’s Tournament
begins with 64 teams
and consists of 6 UNC
-Duke
rounds of play. The
MIDEAST UNC
Duke
EAST
winners of the first
round play against
Tennessee
Maryland
U com
each other in the
second round. The
Maryland
winners then move
from the Sweet
Duke
Sixteen to the Elite
WEST
– Maryland
MIDWEST
Eight to the Final
Four and finally
to the
Maryland
Championship Game
The number of teams
y that compete in a tournament of x rounds is y = 24
LSU
LSU
Exponential Functions in an exponential function like y = 2*, the base
is a constant, and the exponent is a variable. Let’s examine the graph
of y = 2
EXAMPLE Graph an Exponential Function
Sketch the graph of y = 2″. Then state the function’s domain and range.
Make a table of values. Connect the points to sketch a smooth curve.
7
-3 2-)-
-2 2-1
2-63
0
2.1
4
21 = V2
Notice that
the domain
ofy – 2
includes
irrational
numbers
such as V7
2
3
1
As the value of
x decreases
the value of y
approaches 0
21 = 2
21
2
3
21-8
-3 -2 -1 0
The domain is all real numbers, and the range is all positive numbers.
498 Chapter 9 Exponential and Logarithmic Relations