Algebra II Unit 5 Study Guide
Unit 5 Study Guide
Algebra II Section
2A
3A
5A
2B 3B
5B
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Please use separate sheets of paper. Box your answers.
Study all notes & all Do Nows
Lesson 5.1 System of Quadratic Equations
Solve the system of equations and write in coordinate form.
=
+4 +1
1.
= +1
3.
5.
7.
=− + −1
=− −1
=
− 3 − 20
=− −5
=− −3 −2
=
+3 +2
2.
4.
6.
8.
Lesson 5.2 Solving Square Root Equations
Solve and check for extraneous solutions.
9.
10.
12.
11.
14.
13.
16.
15.
17.
18.
19.
20.
Lesson 5.3 Square Root Functions as Inverses
21. ( ) = ( + 4)
Find the
( )
Domain and range of ( )
Domain and range of
( )
Restriction to make inverse a function example:
( )=
( ) = √ with ≥
with ≥ 0 so that
0
=−
=
=2
+ 2 + 10
+4
−3 −1
= −3
=
+5 +1
=
+2 +1
=− − −3
2 −2 −3
Algebra II Unit 5 Study Guide
Graph the function and the inverse
22. ( ) = ( − 2) − 1
Find the
( )
Domain and range of ( )
Domain and range of
( )
Restriction to make inverse a function example:
( )=
( ) = √ with ≥
with ≥ 0 so that
0
Graph the function and the inverse
23. ( ) = −( + 3) + 4
Find the
( )
Algebra II Unit 5 Study Guide
Domain and range of ( )
Domain and range of
( )
Restriction to make inverse function example:
( )=
( ) = √ with
with ≥ 0 so that
0
≥
Graph the function and the inverse
24. ( ) = −( + 4) + 2
Find the
( )
Domain and range of ( )
Domain and range of
( )
Restriction to make inverse a function example:
( )=
( ) = √ with ≥
with ≥ 0 so that
0
Graph the function and the inverse
Algebra II Unit 5 Study Guide
25. ( ) = −√
Find the
( )
Domain and range of ( )
Domain and range of
Is
( )
( ) a function?
26. ( ) = √ + 3
Find the
( )
Domain and range of ( )
Domain and range of
Is
( )
( ) a function?
27. ( ) =
Find the
( )
Domain and range of ( )
Domain and range of
Is
( )
( ) a function?
28. ( ) = ( − 4)
Find the
( )
Domain and range of ( )
Domain and range of
Is
( ) a function?
( )