Chapter 2 Review Answers
1. Vertex: (2, -4)
x-intercept (2 ± √2, 0)
y-intercept (0, 4)
11. 14 + 21i
12.
13.
−5+31𝑖
29
5
2
, 1 + 𝑖√5, 1 − 𝑖√5
14. f(x) = 4 (x – 4)2 – 66
x = -0.062, x = 8.06
15. minimum (-0.5, 12)
2.
16. f(x) = x4 + 3x3 + 21x2 + 75x – 100
17. 1, -2, -2, 1/3
3. h(x) = 3(x + 4)2 - 2
4. f(x) = -2(x – 1)2 – 4
5. rises right, falls left
6. x = 0, x = ½, x = -1
7. 𝑥 = ±𝑖√6, 𝑥 = ±2√2
rises left, rises right
8. 2𝑥 2 + 3𝑥 − 2 +
−3𝑥−4
𝑥 2 −3
9. (2𝑥 + 1)(𝑥 − √6)(𝑥 + √6)
10. x = 2, x = -1, x = 3/10
18. D: 𝑥 ≠ 1
HA. None
VA: x = 1
DP none
SA: y = x + 2
x-int: (-3, 0) (2, 0)
y-int: (0, 6)