Algebra 2: Checkpoint 6.3 & 6.41. 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.

Graph Square Root & Cube Root Functions. GOALS: “”

Algebra 2: Notes 6.5:

Inverse of a Ymca graph?

Inverse of a Disco graph?

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 downb moves left and rightc 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.

3y a x b c a stretches or shrinks and opens up or downb moves left and rightc 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

Solve Radical Equations. GOALS: “”

Algebra 2: Notes 6.6:

How do we solve? 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.

0652 xx

10442 xxx

22 102 xx

016 xx

0106 xorx

16 xorx

True44

164

10626

False33

93

10121

6.6 Example 4: Solve an equation with two radicals.

xxx 3104646

2231026 xx

xx 31026

xx 464

xx 6

2216 xx

6.6 Example 4: continued.

PS 6.6 pg.456 #3, 7-11, 15-51 odds

60 2 xx

26 xx

230 xx

2216 xx

0203 xorx

23 xorx

False15

123

91029

3310263

True44

1622

61024

2310262