CP ALG II 9/18/15 Name: ________________ Chapter 2 Review!

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CP ALG II 9/18/15
Chapter 2 Review!
1.
Name: ________________
Graph. State the range and domain.
 1
 x  4  1,
 3
2

f (x)  2 x  1  3,

2,


2.

x  -1
for
-1  x  2
for
x 2
Graph. State the range and domain.
 x  4  6,

f (x)  x 2  2,
 x  4  6,

3.
for
for  6  x  2
for  2  x  2
for 2  x  6
Graph. State the range and domain.
2(x  4)2  5, for  5  x  2

f (x)  1,
for  2  x  4

 x  4  2, for 4  x  8
4.
Write an equation for each graph.
a.
b.
5.
c.
d.
e.
f.
Mrs. Long is going to Denver for Thanksgiving break! Last time she booked a plane ticket to
Denver she recorded the price of a plane ticket to Denver at various time periods before her departure
(measured in days).
Line l passes through the CENTROID and the point 30, 270 . Find the equation of
line l .
a.


b.
Find the linear regression equation that represents this data. Find the correlation
coefficient.
c.
Use your regression equation to predict the price of the plane ticket 31 days before
the departure.
d.
If Mrs. Long has budgeted $290 for her plane ticket, when does she need to buy her
ticket?
e.
6.
Find the equation of the line that passes through 10, 250  and is perpendicular to line l .
Graph.
a.
f (x)   x
b.
f (x)  x  3
c.
f (x)  x  5
d.
f (x)  4 x

7.
1
x
2
e.
f (x)  
g.
f (x)  2 x  3  1
Graph.
f (x )  2x 2
a.
c.
f (x)  (x  3)2
f.
f (x)  x  6  2
h.
f (x)  
b.
f (x)  x 2
d.
f (x)  x 2  4
5
x 4 3
3
8.
e.
f (x)  2(x  4)2
f.
f (x)  x 2  4
g.
1
f (x)  (x  5)2  4
2
h.
f (x)  3x 2  6
b.
f (x)  2 x  3
d.
f (x) 
Graph each function.
1
f (x)   (x  1)2  3
a.
2
c.
2x  4, x  1
h(x)  
x  7, x  3
4
x 1 5
3
e.
f (x) 
2
x  3 1
5
f.
k(x)  x 2  4
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