Download Algebra 2: Unit 3 Answer Key

Algebra 2: Unit 3 Answer Key
Section 3.1: Relations and Functions
1.
2.
3.
4.
5.
6.
Not a function; D: [-2, 2]; R: [-2, 2]
Not a function; D: [-2, ∞]; R:[-∞, ∞]
Not a function; D: [-2, ∞]; R:[-∞, ∞]
Function; D: [-∞,∞]; R: [-1, ∞]
Function; D: [-∞, ∞]; R: [-1, 1]
Not a function; D: [0, 2]; R: [-2, 2]
7.
8.
9.
10.
11.
12.
-7
38
-6
-2
32
14/3
13.
14.
15.
16.
17.
18.
Function
Function
Not a function
Function
Not a function
Not a function
Section 3.2: Function Operations
1. 2x2 + 4x + 2
2. 8x3 – 2x2 + 12x – 3
3. 2x2 - 4x + 4
4.
5. 2x +
–1
6. 2x -
11.
12.
13.
14.
15.
+1
7.
8.
- 2x – 1
9. -4
10.
17/5
-4/5
-2
-4x + 7
-19
16.
17.
18.
19.
20.
2x2 - 3x – 7
-8x + 6
7/5
3x2 -17x + 10
Section 3.3: Inverse Functions
1. y-1 =
2. y-1 = x – 2
3. y-1 = x/3 – 1
11. y-1 = x2 – 6x + 9
7. y-1 =
12. y-1 =
8. y-1 =
13. y-1 =
-1
4. y =
5. y-1 =
6. y-1 = x2 - 4x + 7
-1
9. y =
14. y-1 =
15. y-1 = x2 +1
10. y-1 =
Unit 3 Review
1.
2.
3.
4.
3x2 +5x – 2
3x2 – 5x + 2
-15x3 + 6x2
-15x3 + 6x2
13. 4900
14. 4
15. 40
16. y-1 =
5.
17. y-1 =
6.
18. y-1 = x2 – 4
7.
8.
9.
10.
11.
12.
256
4
49
1
81
19. y-1 =
20. y-1 = x2 + 3
21. y-1 =
22. 1
23. -2
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
13
-1
18
3
Function
Function
Function
Not a function
Function; D: [-∞, ∞]; R: [-∞,∞]
Function; D: [-∞, ∞]; R: [0,∞]
Not a function; D: [-1, 3]; R: [0, 4]