Unit 2, Activity 2,
Discovery using Technology
Blackline Masters, Advanced MathPreCalculus
Page 53
Louisiana Comprehensive Curriculum, Revised 2008
1. Plot on the same screen the following graphs:
,
2
x
y
=
,
3
x
y
=
y = x
4
, y = x
5
a) What points do all of the graphs have in common?
b) Which function increases most rapidly, and which increases least rapidly, as
x
becomes large?
c) What are the main differences between the graphs of the even powers of x and
the odd powers of
x
?
2. Plot on the same screen the following graphs:
,
2
x
y
−
=
,
3
x
y
−
=
y =x
4
, y = x
5
a) What characteristics do these graphs share with the graphs in #1?
b) How do these graphs differ from the graphs in #1?
3. Plot on the same screen the following graphs:
,
2
x
y
=
y
= 4
x
,
x
x
y
4
2
+
=
a)
What do you notice about the graphs of
2
x
y
=
and
x
x
y
4
2
+
=
when
x
is a
large positive or negative number?
b) What do you notice about the graphs of
y
= 4
x
and the graph of
x
x
y
4
2
+
=
when
x
is a small positive or negative number?
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 Fall '08
 GERMAN
 Calculus, PreCalculus

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