extra pre-calc msl practice- units 1-4
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Extra Pre-Calc MSL Practice- Units 1-4
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An open top box is made by cutting 4 cm squares from each corner of a piece of cardboard and then folding up the sides. The cardboard is twice as long as it is wide. The volume of the box is 96 cm3. Find the original dimensions of the cardboard.!
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ln !! !! 3 log ! + 4 log! − 4 log !
5 + 2 ln ! = 4 !"#!! − !"#! ! − 1 = !!
Topic #3- Rational Expressions & Equations !1.!! x − 5
3x + 2⋅3x + 24
⋅x − 2
x2 + 2x −35!
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!2.!!x2 + 6x +83x +12
÷2x −8
x2 − 2x −8!
!!!!!!!!!!!!!3.!
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4.!! ! 5.!! 5x2+20x − 4
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1.!! !!
2.!! !!!!!!!!" =
!!!! +
!!!!!
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3.!! !!!
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32
94
2 −+
−
−
xx
16
3327
+÷
+ xx
k3−13k
=1k x
xxx 143 +=
−+
!!How!to!find:!!!!
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1.!!! ! = !!!!!!!"!!! ! !
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2.!!! ! = !!!!!!!! 3.!!! ! = !!!!!!
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Vertical!Asymptotes:! !!
Horizontal!Asymptotes:!
Holes:!! !
!x8intercepts:
!! !
x)int:!
VA:!!
HA:!!
holes:!
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2 4 6 8–2–4–6–8 x
2
4
6
8
–2
–4
–6
–8
y
2 4 6 8–2–4–6–8 x
2
4
6
8
–2
–4
–6
–8
y
2 4 6 8–2–4–6–8 x
2
4
6
8
–2
–4
–6
–8
y
x)int:!
VA:!!
HA:!!
holes:!
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x)int:!
VA:!!
HA:!!
holes:!
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