1. Warm-up 12/14/12 1.Solve the system by any method 2.Set up the system of equations A math test is to have 20 questions. The test format uses multiple choice worth 5 points each and problem solving worth 6 points each. The test has a total of 100 points.

2. Unit 3: Linears and Exponentials  Function Notation, Combination of Functions  Characteristics of Functions  Properties: Domain and Range, Increasing and Decreasing, Intercepts, Asymptotes  Rate of Change  Sequences  Transformations  Comparing Sequences and Functions  Growth and Decay Models Key Ideas

3. 11/13/2015 Example 1 Are these Functions? If no, WHY NOT? InputOutput -22 14 56 YES NO

4. Example 2 If f(x) = 2x 2 + 3x -7, find f(-3)

5. Example 3 Given the functions f(x) = 2x 2 + 3x - 7 g(x) = x 2 - 5x + 6 Find g(x) – f(x) -x 2 – 8x + 13

6. Domain: Range: x-int: y-int: Increasing or Decreasing Example 4

7. Domain: Range: Asymptote: Rate of Change [-2,0]: Increasing or Decreasing Example 5

8. Calculate the rate of change from, (2, 5) to (0, 9). Example 6

9. Write the formula of the following sequences... 5, -2, -9, -16,…2, 8, 32, 128,… Example 7

10. Describe the transformations. f(x) = -(2) x+4 - 1 Example 8 Reflect over the x-axis Left 4 Down 1

11. Given the equation a)Growth or Decay? ____________ b)What is the rate of growth or decay? _______ c)What is the initial value? _________ d)Evaluate for x = 8 _________ Example 9

12. You purchase a car for $24,000. The value of the car decreases 6% each year. Write an exponential equation describing the situation. What will the car be worth in 12 years? Example 10 y = 24,000(.94) t $11,422.09

13. Coach Riggins is getting the Lax team ready for the upcoming season. For conditioning he has developed 2 plans: Plan A: The team starts with 1 mile and increases a quarter of a mile each day. Plan B: The team starts with half a mile and it doubles every day for the first week. Write the equation for each plan. Compare the Rate of Change, y-intercept for each. Example 11

14. CW/HW Mid-Term Unit #3 Review