L-3.5: Function Notation L-3.6: Homework L-3.7: Average Rate of Change

Answers for pg. 79-83 Yes No Yes 2. When you graph the function it looks like a line 3. As the x-values increases by two, the y-values increases by 8 4. a. L(13)= 200 b. L(17)= 250 c. L(25)=350 5. m(18)-m(12)=40 6. Answers will vary 7. NO NEED, see notebook 8. a. g(10)=41 b. h(5)=-15 c. k(8)=7

Answers for pg. 84-85 9. NO NEED – see notes 10. positive, as the number of miles increases the number of telephone poles you see will increase. 11. negative, As the number of minutes increases the number of miles you still need to travel will decrease. 12. negative, as the number of weeks increases the amount of money you owe your dad will decrease 13. f(-10) f(-.25) f(0) f(1) f(1.25) f(𝜋)

Answers for pg. 87-88 14. f(-2) Since the slope is negative, the function is decreasing, so as x increases, f(x) will decrease 15. T(x) because it is the steepest line 16. T(x) greatest slope Part I: Answers may vary – see notes 𝑚=− .29 400 =− 29 40000 =− 0.000725 1 *any of these are ok* 2. The value of the US dollar decreases 0.000725 RMB every day

Answers for pg. 89-90 3. − 0.265 1 means that the value of the US dollar decreases by .265 each year 4. Worth less since the slope is negative the value of the US dollar is worth less over time 5. a. Increases by 2 b. up by 2 6. down by 3 7. Up by ¾

Answers for pg. 91

Answers for pg. 92

Answers for pg. 92-95 10. a. Depends on what the y-axis intervals are. If the intervals increase by 1 then the slope is 4 10 = 2 5 b. Scale of 5 for y-axis c. As x increases so does y 11. Answers will vary f(10)-f(2)=40 2. a. T(0)=0 T(25)=30 b. 6 5 𝑜𝑟 1.2 𝑙𝑎𝑝𝑠 1 min c. Tammy can swim 6 laps in 5 min OR Tammy can swim 1.2 laps in a min.

Answers for pg. 95-96 3. The slope of S(m) will be greater since the pool is shorter Tammy will be able to swim more laps. 5. m= slope and b is the y-intercept (0,b) 6. See right 7. a. f(x)=5x+345 Where x= # of weeks b. Keoni downloaded 5 songs every week

Essential Question: What is Rate of Change? I CAN: Translate between written descriptions and symbolic representations Calculate the average rate of change in context and independently of context

Function Notation C(k) represents the cost of purchasing k kimchi bowls during one week. Explain what the following means in context: *review* C(2)=3 C(k)=12

Function Notation C(k) represents the cost of purchasing k kimchi bowls during one week. Explain what the following means in context: *review* C(2)=3 The cost of 2 kimchi bowls is $3 C(k)=12 How many kimchi bowls can you buy for $12?

Function Notation W(c) represents the weight of a person eating c number of candy bars. Describe what the following means in context: W(3) W(c)=100 W(5)-W(1) W(c+2) W(10)=W(4) + 50

Function Notation W(c) represents the weight of a person eating c number of candy bars. Describe what the following means in context: W(3)= The weight after eating 3 candies W(c)=100 How much candy do you need to eat to weight 100lb? W(5)-W(1) The difference in weight of eating 5 and 1 candy bars W(c+2) The weight after eating 2 more than c candies W(10)=W(4) + 50 The weight after eating 10 candies is 50 more than the weight after eating 4 candies.

Rate of Change How quickly a function increases or decreases over a given interval If a baby drinks an average of 8 bottles per day, what does that mean? Does the baby always drink exactly 8 bottles?

Rate of Change What is the average rate of change between x=1 and x=4 F(x) -2 -6 1 3 4 10 18 What is the average rate of change between x=1 and x=4 What is the average rate of change between x=-2 and x=1 On which interval is f(x) increasing at a faster rate?