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1. Function or Not a Function? 2. Write the closed (explicit) model of the sequence: 3, 7, 11, 15, 19.

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Presentation on theme: "1. Function or Not a Function? 2. Write the closed (explicit) model of the sequence: 3, 7, 11, 15, 19."— Presentation transcript:

1

2 1. Function or Not a Function?

3 2. Write the closed (explicit) model of the sequence: 3, 7, 11, 15, 19

4 3. Give the domain of the function.

5 4. Give the range of the function.

6 5. Calculate the rate of change from (4, 8) to (6, 12).

7 6. Calculate the average rate of change from x 1 =2 to x 2 =3.

8 7. Find the first 5 terms of a n = n 2 – 2. -1, 2, 7, 14, 23

9 8. Write the recursive formula of the following sequence... 5, 11, 17, 23, 29 a n =a n-1 +6 where a 1 =5

10 9. Find f(3) from the graph. 9

11 10. If f(x) = 2x 2 + 3x -7, find f(-3) 2

12 11. Describe the End Behavior

13 12. Given f(x) = 3x + 4 and g(x) = 6x Find f(x)g(x) f(x)g(x) =18x 2 + 24x

14 13. The explicit formula for a geometric sequence is a n = 4(2) n-1, find the 6 th term: 128

15 14. What is the explicit form for this geometric sequence? 5, 15, 45….? Y=5(3 x-1 ) You must use “x-1” since 5 is the first term and would otherwise be counted twice

16 15. What is the y- intercept of Y=5(3 x ) ? (0, 5)

17 16. How would you transform y = 3 x to get y = -3 x ? Reflect over the x-axis

18 17. Even, Odd, or Neither? Even – symmetrical over y-axis

19 18. Even, Odd or Neither? Odd – rotational symmetry – 180 degrees around origin

20 19. Even, Odd or Neither? Neither – it is reflect over x = 2 not the y- axis

21 20. Which is the better deal at 20 years? You get $4 this year (year zero) and it doubles every year OR you get $1500 this year and add $1000 each year. At year 20, you will have $4,194,304 from option 1. At year 20, you will have $21,500 from option 2. Option 1 is a much better deal! Equations: and

22 What is the equation for the graph shown?

23

24 A new house has a value of $250,000. It is appreciating at a rate of 5% per year. What is the equation to represent this and what is the value of the house in 10 years? $407,223.66

25 HOMEWORK Study for Test Use your Unit 4 part A test, Unit 4 quizzes and review sheet to help you! There are textbook pages that will be helpful – they are on the back of the Agenda.


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