NAME_____________________
Period_____
DUE MONDAY, DECEMBER 14TH
FIVE POINTS OFF EACH DAY LATE.
NO WORK – NO CREDIT, UNLESS MARKED WITH *.
WORK MUST JUSTIFY YOUR ANSWER.
*1)
ALGEBRA 2 6.0
CUMULATIVE REVIEW #4
SCORE _____/20
Use TWO words to describe the correlation given by the following set of ordered pairs.
x
3
5
6
0
8
5
Y
9
4
3
11
1
3
1) ____________________________________
*2)
Identify each transformation from the parent function f (x )  x 2 to g.
Be complete in your description.
a)
g (x )   2x 
2
2a) ________________________________
______________________________________________________
b)
g (x )   x  2  4
2
2b) ________________________________
______________________________________________________
*3)
Identify a, b, c and d for each function so that the transformation from
f(x) to g(x) is as described below.
a)
f (x )  x ; g (x )  a b (x  c )  d
3a)
translated 2 units to the left and
compressed vertically by a factor of
b)
f (x )  x 2 ; g (x )  a (b (x  c ))2  d
reflected across the x-axis and
stretched horizontally by a factor
of 4.
a = _________
b = _________
1
5
c = _________
d = _________
3b)
a = _________
b = _________
c = _________
d = _________
*4)
State the range of f (x )  x  5  2 using
4) ________________
interval notation.
5)
*a) Graph the piecewise function.
if  4  x  1
x

f (x )  x  2
if  1  x  3
3x  18 if 3  x  5

b) Find f (3.2) . SHOW WORK
2
5b) _______________
6)
Write y  3  x  1  16 in standard form.
6) __________________
7)
Solve for x. 3x 2  15  6
7) _________________
8)
Solve for x.
x
 2 x  3  6
8) ________________