1. What comes Next?
Lesson 3.11

2. Sequence f To find the next term: Recursive Rule:
To find the nth term:
Explicit Rule:
Arithmetic, Geometric, or Neither?
+ 0.6 to the previous term n
F(n) 1
1.6 2
2.2 3
2.8 4
3.4 …
F(1) = 1.6 ; F(n+1) = F(n) + 0.6
+ 0.6 n times to 1
F(n) = 0.6n + 1
Arithmetic

3. Sequence g Geometric To find the next term: Recursive Rule:
To find the nth term:
Explicit Rule:
Arithmetic, Geometric, or Neither?
Multiply the previous term by 1 5 n
G(n) 50 1 10 2 3
2 5 4
2 25 5
2 125 …
G(1) = 10 ; G(n +1) = G(n) ∙ 1 5
Start with 50 and multiply n times
G(n) = 50 ( 1 5 ) 𝑛
Geometric

4. Sequence H To find the next term: Recursive Rule:
To find the nth term:
Explicit Rule:
Arithmetic, Geometric, or Neither?
Multiply the previous term by -0.2 n
H(n) 5 1 -1 2
0.2 3
- 0.04 4
0.008 …
H(1) = -1 ; H(n+1) = H(n) ∙ -0.2
Start with 5 and multiply – 0.2 n times
H(n) = 5 (- 0.2)n
Geometric

5. Solve for y , graph and state Domain and Range
3x – 2y = 8 -3x -3x - 2y = -3x + 8 /-2 /-2 /-2 y = 3 2 x - 4
Domain:
Range:
All Real #s

6. Solve for y , graph and state Domain and Range
All Real #s
(0 , ∞)
4y – 4x = 0
+ 4x x
4y = 4x
( 1 4 )4y = 4x ( 1 4 )
y = (4) 𝑥

7. Find the slope from two given points
( 2, 3 ) & (3, - 4) −4 −3 3 −2 −7 1 -7

8. Find the slope from two given points
( -2, -2 ) & (4, - 2) −2 −−2 4 −−

9. Find the slope from two given points
( -5, 6 ) & (3, 8) 8 −6 3 −−

10. End Behavior of Functions∞
𝐴𝑠 𝑥 → ∞ , 𝑓 𝑥 → ______
𝐴𝑠 𝑥 →−∞, 𝑓 𝑥 → _______ ∞

11. End Behavior of Functions∞
𝐴𝑠 𝑥 → ∞ , 𝑓 𝑥 → ______
𝐴𝑠 𝑥 →−∞, 𝑓 𝑥 → _______ −∞

12. End Behavior of Functions
𝐴𝑠 𝑥 → ∞ , 𝑓 𝑥 → ______
𝐴𝑠 𝑥 →−∞, 𝑓 𝑥 → _______ ∞

13. Exit Ticket