Unit 5- Nonlinear Functions & Equations

LESSON 1

LESSON 2

Unit 5 Test Review Key

Lesson 1 Homework
1a. Yes b. Yes c. No, 2 y-values for x=1 d. Yes

2a. No, Fails VLT b. Yes c. No, Fails VLT d. No, Fails VLT

3a. i. C(100)=$21,000 ii. C(250)=$26,250 iii. C(0)=$17,500
b. 17,500 Meaning- When zero shoes are purchased, it still costs the store $17,500 to operate.
35 Meaning- It cost the business $35 per pair of shoes.
c. x=200 pairs of shoes. When they purchase 200 pairs of shoes, the costs for that month is $24,500.

4. x-intercepts: (-4,0) and (2,0) y-intercept: (0,8) Max/Min: (-1,9)

5a. -5x²-8x b. x²-16 c. x²+2x-15 d. x²+8x+15 e. x²-10x+25 f. 2x²-10x+12

6a. (x+3)(x+5) b. (x+8)(x-8) c. (x+3)(x+2) d. (2x+4)(x+3) e. x(x+3) f. (x-2)(x+6)

7a. x=4 and -4 b. x=3 and -3 c. x=√50 and -√50
d. No Solution e. x=-5 and -3 f. x=-3 and -2
g. x=3 and 5 h. x=1/2 and -3

8a. x=2 and -6 b. x=-1/2 and 1 c. x=(-8±√24)/-4 or x=.775 and 3.225

9a. x-intercepts: (0,0) and (14,0)
b. y-intercept: (0,0)
c. Vertex(Maximum): (7,98)

Lesson 2 Homework

1a, (1,6) and (-6,-1) b. No Solution

2a. W(h)=60/h b. V(h)= -5h+40

3a. (0,0) and (3,6) b. (-1,6) and (2,0) c. (-2,-1)

4ai. 3 ii. -3 iii. 3.2 bi. 1.875 ii. 2.875 iii. .875

5a. i. x=1.9542 ii. x=1/2 iii. x=1 iv. x= 2 and x=-2

﻿Unit 5- Nonlinear Functions & Equations

Unit 5- Nonlinear Functions & Equations