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© 2014 Pacific Crest
115
2. What effect will changing the coefficient of
x
in
h
(
x
) = 5 – 2
–
x
from –1 to 2 have on the graph of
h
(
x
)?
H
ardest Problem
How hard
can
it be? Can you still use what you’ve learned?
Based on the Model, the Methodology, and the Demonstrate Your Understanding (DYU) problems in
this activity, create the
hardest
problem you can. Start with the hardest DYU problem in this experience
and by contrasting and comparing it with the other DYU problems, play “What if” with the different
conditions and parameters in the various problems.
Can you still solve the problem? If so, solve it. If not, explain why not. What is it that makes a function
difficult to graph?
What are the conditions and parameters that make a function difficult to graph?
T
roubleshooting
Find the error and correct it!
Tristan spent a lot of time creating
what he felt was a very nice graph
for a function that was assigned
as homework. He was unhappily
surprised when his homework was
returned and his graph had been
given zero points.
Identify his error and provide a
correction.
0 pts
-
10
10
y
1
6
-
6
x
(-
2
, -
3
)
g(x)
=
x
2
+ 2x − 6
x + 4
6
,
21
5
4
,
9
4
0
, -
3
2
2
,
1
3
M
aking it Matter
Solving problems in your life
Produce a graph of a function that is used in or represents something from each of the following five
areas of your life:
●
Your work
●
Your current science course
●
Any future experiences in the book
●
Your personal finances
●
Any organization that you belong to other than your job (e.g., social or school organizations,
professional organizations, charitable organizations, teams, etc.)
2.5 Analyzing a Function