Feb 23, 2016
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PiecewiseFunctions
GraphingOther f(x) Potpourrif(x) operations
and comp.( ) ( )f x h f x
h
Graph the following with at least 5 exact points:
2x if x 0
f x x if 0 x 28 2x if x 2
2x if x 0
f x x if 0 x 28 2x if x 2
Graph the following with at least 5 exact points:
2x 2 1 if x 1g x 7 if 1 x 4
x 4 4 if x 4
2x 2 1 if x 1g x 7 if 1 x 4
x 4 4 if x 4
Graph the following with at least 5 exact points:
3 x if x 1h x 2x 1 if 1 x 3
3x 15 if x 3
3 x if x 1h x 2x 1 if 1 x 3
3x 15 if x 3
Graph the following with at least 5 exact points:
2
3
2
(x 5) 5 if x 5e x (x 4) 4 if 5 x 3
(x 2) 1 if x 3
2
3
2
(x 5) 5 if x 5e x (x 4) 4 if 5 x 3
(x 2) 1 if x 3
Graph the following with at least 5 exact points:
2
3
x if x 2j x x 2 if 2 x 4
x 4 if x 4
2
3
x if x 2j x x 2 if 2 x 4
x 4 if x 4
Graph the following with at least 5 exact points (if they fit
on the graph):
2k x 3x 8
2k x 3x 8
Graph the following with at least 5 exact points (if they fit
on the graph):
3d x x 1 4
3d x x 1 4
Graph the following with at least 5 exact points (if they fit
on the graph):
c x 2 x 5
c x 2 x 5
Graph the following with at least 5 exact points (if they fit
on the graph):
m x x 7 5
m x x 7 5
Graph the following with at least 5 exact points (if they fit
on the graph):
x y 5
x y 5
Solve for
given that f(x) =
( ) ( )f x h f xh
5 7x
5 7x
Solve for
given that f(x) =
( ) ( )f x h f xh
1 82x
1 82x
Solve for
given that f(x) =
( ) ( )f x h f xh
24 5 1x x
24 5 1x x
Solve for
given that f(x) =
( ) ( )f x h f xh
22 4 5x x
22 4 5x x
Solve for
given that f(x) =
( ) ( )f x h f xh
25 3x x
25 3x x
Which of the following is Mr. Mantra’s college alma mater?
A. University of Illinois at SpringfieldB. University of Illinois at ChicagoC. University of Illinois at Urbana-ChampaignD. University of Illinois at PeoriaE. University of Illinois at Rockford
C. University of Illinois at Urbana-Champaign
Which of the following is Mr. Mantra’s least favorite Big Ten team?
A. Penn StateB. IowaC. IndianaD. MichiganE. Ohio State
B. Iowa
Which of the following does Mr. Mantra want the most for Christmas?
A. world peaceB. an end to global hungerC. cures for all diseasesD. happiness and prosperity for my familyE. a new TV, an Xbox, a racing car bed, a Transformer toy, a set of Legos,…and about 300 other things
E. a new TV, an Xbox, a racing car bed, a Transformer toy, a set of Legos,…and about 300
other things
What is Mr. Mantra’s biggest fear?
A. public speakingB. flyingC. spidersD. going baldE. death
D. going bald
What is Mr. Mantra’s favorite Winter Olympic sport?
A. hockeyB. skeletonC. 2-man bobsledD. curlingE. figure skating
A. hockey
Given that
Evaluate:
( ) 3f x x 3( )g x x
( )(8)f g
( ) 3f x x 3( )g x x
( )(8)f g
Given that
Write it as a composition of the following functions:
23( )B x x
( ) 3f x x 3( )g x x
2( )h x x
( ( )) ( ( ))h g x or g h x
Given that
Evaluate:
( ) 3f x x 2( )h x x
( )( 3)f h
( ) 3f x x 2( )h x x
( )( 3)f h
Given that
Evaluate:
( ) 3f x x 2( )h x x
( )(5)h f
( ) 3f x x 2( )h x x
( )(5)h f
Given that
Write it as a composition of the following functions: ( ) 3f x x
3( )g x x2( )h x x
23( ) ( 3)C x x
( ( ( )))g h f x