Unit 1 Study Guide Answers 1a. Domain: 2, -3 Range: -3, 4, -4, 0 Inverse: {(-3,2), (4, -3), (-4, 2), (0, -3)} 1b. x 2-3 2-3 y -3 4-4 0 1c. no 2a. y = x 2b. y = mx+ b 2c. 2e. 2d. all real numbers 2f. yes 3. (2, 4) 4a. infinitely many; C & D 4b. (-1, 3); C & I 4c. 6 daytime and 8 evening 5. ; (-7, 6, 3) 6. 7. max: 30 @ (0, 6) min: 0 @ (0, 0) 8. x = party y = casual Constraints: Objective Function: 10 party dresses & 5 casual sets to make $110
Unit 2 Review Answers 1. 1, 2, -2 2a. 2b. 3a. 3b. 4. reflects across the x-axis Vertex: (6,3) V shrink by a factor of 2/3 HT 6 units right domain: ARN range: VT 3 units up AOS: x = 6 5. -4-3 -2-1 0-2 -3-4 -3-2 -2-3 -4-3 -2-4 -3-2 -1 0 6. 7. 12 or 24 ft wide 22 ft high
Unit 3 Study Guide Answers Page 945 ( 11 21) Page 948 (35 57)
Honors Algebra II Unit 4 Study Guide Part I (5.1 5.3) Name Example #1: Complete the Coeff V Opens Max or Vertex AOS Domain Range table. Stretch or Min Shrink 2 y 2( x 2) 1 a=2, b=8 c=9 V Stretch Up Min (-2, 1) x = -2 ARN y > 1 1 2 Example #2: Describe the transformation of y ( x 2) 4 from its parent function. Then state 3 the vertex, axis of symmetry, domain, and range. Reflects across the x-axis Vertex: (2, 4) V Shrink by a factor of 1/3 AOS: x = 2 HT 2 units right Domain: ARN VT 4 units up Range: y < 4 Example #3: Use a table to graph each quadratic function and its inverse. 2 a) y x 2x 3 b)
Example #4: Part of a roller coasters path can be modeled by the function, where x is the horizontal distance in feet the roller coaster has traveled and f is its height in feet above the ground. a) What is the roller coasters maximum height above ground on this part of the path? 100 ft b) How far has the roller coaster travelled horizontally when it reaches its maximum height? 35 ft c) How far has the roller coaster travelled horizontally on this part of the path when it goes back to the ground? 70 ft (5.6) Solutions of a Quadratic & the Discriminant ONLY Be able to describe the quadratic solutions from a graph. Be able to use the discriminant to describe the number and type of quadratic solutions. Example #5: Describe the quadratic solution for each graph. a) b) c) 2 real Solutions No real Solutions 1 real Solutions Example #6: Find the discriminant and give the number and type of solution of each equation. 2 2 a) x 14x 49 0 b) 3x 10x 5 0 0 160 1 real solution 2 real solutions (5-2) Solving Quadratic Functions by Factoring Be able to solve a quadratic by factoring. Know the terms: x-intercept, zeros & roots
Example #7: Solve each quadratic equation by factoring. 2 a) x 6x 27 0 b) 4x 2 21x 20 c) 2x 2 32 0 x = 9, -3 x = -5/4, -4 x = 4, -4 (5-3) Solving Quadratic Functions by Find the Square Roots Be able to solve a quadratic by finding the square roots. Example #8: Solve each quadratic equation by finding the square root. a) 5 2 2 x 2 b) 2 5 41 1 2 3 x c) x 3 3
Unit 4 SG Part II (5.4 5.8)
Linear-Quadratic Systems Extra Practice
Unit 5 Part I (7.1-7.4)
Unit 5 Part II (7.5 & 7.6)
Honors Algebra II Unit 6 Review Name Date Class Complete the table. 1. 2. 3. Growth or Decay y 2 5 Decay x x 2 y 3 1 Growth y e x 1 2 Growth y -intercept 1-8/9 ½ Asymptote Y=0 Y = -1 Y = 0 Domain ARN ARN ARN Range Y > 0 Y > -1 Y > 0 Graph/Translation none
Complete the table. 4. 5. y log 1 3 x 1 y log 4( x 2) 3 Moves up or down to the right Down Up Vertical Asymptote X = 0 X = 2 Domain X > 0 X > 2 Range ARN ARN Translation of f ( x) log b x VT 1 down HT 2 right VT 3 up Simplify each expression. 2 6. ( 3e)( e ) 7. e e 4 3 3 8. ln e 4x 9. log 64 e 4-3 4x 3 10. log 125 5 11. 12. log 3 27 13. log 05 2. 2x 3-1 Evaluate 14. 15. 16. 20.086 no real solution.699
Find the inverse of the function. 17. y log 6 x 18. y ln x 2 19. r y a 1 r t y a 1 r t A P 1 A Pe rt n nt 20. You deposit $5000 in an account that pays 6.5% annual interest. Compare the balance after five years compounding monthly and continuously. Which is the better investment? Explain your answer. Compounding continuously is the best investment since you make $6.06 more than using compounding monthly. 21. The value of a new car purchased for $20,000 decreases by 10% per year. Write an exponential decay model for value of the car. Use the model to estimate the value of after three years. 14,580
Unit 7 (9.2, 9.4 & 9.5)