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Algebra 2: Checkpoint 6.3 & 6.4
1. Let f(x)=5x-3 and g(x)= -x2+2. Find the following.
a. g(f(-2))
b. f(g(x))
2. Find the inverse of each function.
a.
b.
Algebra 2: Notes 6.5:
Graph Square Root & Cube Root Functions.
Inverse of a Ymca graph?
Inverse of a Disco graph?
GOALS: “”
6.5 Example 1: Graph a square root function. Then state the
Domain (D) and Range (R).
y  a x b c
a stretches or shrinks and opens up or down
b moves left and right
c moves up and down
6.5 Example 2: Graph a translated square root function. Then
state the domain and range.
WS 6.5 #1-6 E/O
6.5 Example 3: Graph a cube root function. Then state the domain
and range.
y  a x b c
3
a stretches or shrinks and opens up or down
b moves left and right
c moves up and down
6.5 Example 4: Graph a translated cube root function. Then state
the domain and range.
WS 6.5 #7-12 E/O
Algebra 2: Notes 6.6:
Solve Radical Equations.
How do we solve?
GOALS: “”
Inverse operations
6.6 Example 1: Solve a radical equation.
Check the answer to make sure it does work.
PS 6.6 pg.456 #3, 7-11, 15-21 odds
6.6 Example 2: Solve an equation with a rational exponent.
6.6 Example 3: Solve an equation with an extraneous solution.
x  2
2


x  10

2
x2  4 x  4  x  10
x2  5 x  6  0
x  6x  1  0
x6  0
x6
or
or
6  2  6  10
4  16
4  4 True
x 1  0
x  1
 1  2   1  10
3 9
 3  3 False
6.6 Example 4: Solve an equation with two radicals.

x  6  2  10  3 x
x 6 2
   10  3 x 
2
2
x  6  4 x  6  4  10  3 x
4 x  6  4 x
x  6  x

x6

2
  1 x 
2
6.6 Example 4: continued.

x6

2
  1 x 
2
x  6  x2
0  x2  x  6
0   x  3 x  2
x3 0
x3
3  6  2 
10  33
or
or
x 2  0
x  2
 2   6  2 
10  3 2 
9  2  10  9
4  2  10  6
32  1
5  1 False
2  2  16
4  4 True
PS 6.6 pg.456 #3, 7-11, 15-51 odds