Mrs. Bisgaard's Class
  • Home
  • Pre-Calculus
    • Semester 1 >
      • Chapter 1- Functions & Mathematical Models
      • Chapter 5- Periodic Functions & Right Triangles
      • Chapter 6- Applications of Trigonometric & Circular Functions
      • Chapter 7- Trigonometric Function Properties & Identities, & Parametric Functions
      • Chapter 8- Properties of Combined Sinusoids
    • Semester 2 >
      • Chapter 9- Triangle Trigonometry
      • Chapter 2- Properties of Elementary Functions
      • Factoring (Mini Unit)
      • Chapter 4- Polynomial & Rational Functions
      • Chapter 15- Sequences & Series Non-linear Functions and Equations
    • Semester Exams

Unit 5- Nonlinear Functions & Equations

LESSON 1 
Picture
LESSON 2
Unit 5 Review 1
Unit 5 Review 1 Key
Unit 5 Review 2
Unit 5 Review 2 Key
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




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  • Home
  • Pre-Calculus
    • Semester 1 >
      • Chapter 1- Functions & Mathematical Models
      • Chapter 5- Periodic Functions & Right Triangles
      • Chapter 6- Applications of Trigonometric & Circular Functions
      • Chapter 7- Trigonometric Function Properties & Identities, & Parametric Functions
      • Chapter 8- Properties of Combined Sinusoids
    • Semester 2 >
      • Chapter 9- Triangle Trigonometry
      • Chapter 2- Properties of Elementary Functions
      • Factoring (Mini Unit)
      • Chapter 4- Polynomial & Rational Functions
      • Chapter 15- Sequences & Series Non-linear Functions and Equations
    • Semester Exams