![stephanie9291](/avatars/38095.jpg)
stephanie9291
04.08.2019 •
Mathematics
Start with the basic function f(x)=2x. if you have an initial value of 1, then you end up with the following iterations. f(1)=2*1=2 f^2(1)=2*2*1=4 f^3(1)=2*2*2*1=8 1. if you continue this pattern, what do you expect would happen to the numbers as the number of iterations grows? check your result by conducting at least 10 iterations. 2. repeat the process with an initial value of −1. what happens as the number of iterations grows?
Solved
Show answers
More tips
- G Goods and services What Are the Most Popular Services?...
- P Philosophy How did the concept of module arise in computer science?...
- D Dating, Love, Relationships Why Should the Man be Active and the Woman Passive during Foreplay?...
- S Society and Politics Выборы: Смысл, Значение и Отражение...
- B Business and Finance How to Get Your Money Back When Lending? Top 7 Ways...
- F Family and Home Do Lullabies Help Babies Sleep or Is it Just a Myth?...
- F Family and Home Why Does God Punish Us Constantly and How Can We Fix It?...
- D Dating, Love, Relationships Why do we feel shame?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- O Other How to Accidentally Get a Rare Coin with Your Change and How to Know Its Value?...
Answers on questions: Mathematics
- M Mathematics Xis greater than y by 12 and z is less than y by 8. if the ratio of x: z is 9: 4. what is the ratio of value of z? a)12 b) 16 c) 20 d) 36 e) none of these...
- M Mathematics The difference of two numbers is 20 and their product is 125 what is the answer...
- M Mathematics Savannah had 40 chocolate chips. she saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies....
- M Mathematics 7students ride the bus to school for every two students who walk if there are a hundred five students who ride the bus how many students walk...
- M Mathematics Sales tax in one state is 9%. what is the amount of tax on a $30.95 purchase?...
- M Mathematics The average adult house needs 2/5 bale of hay each day to meet dietary requirements. a horse farm has 44 bales of hay. how many horses can ne fed in one day with...
- M Mathematics Sam bought a pair of socks for 2.95 and a tie for 7.50 . he gave the cashier a twenty dollar bill. how much change should sam receive from the cashier...
- M Mathematics The area of a trapezoid is 87m^2, the base is 13m long, and the height is 4m. find the length of the top of the trapezoid....
- M Mathematics The base area of a cone is 27.4 in2 and the volume is 54.8 in3. what is the height of the cone?...
- M Mathematics How many 1/12 pint servings of pecans are in 5/6 pints of pecans?...
Ответ:
f(1)=2*1=2
f^2(1)=2*2*1=4
f^3(1) =2*2*2*1=8
1. If you continue this pattern, what do you expect would happen to the numbers as the number of iterations grows?
I expect the numbers continue growing multiplying each time by 2.
Check your result by conducting at least 10 iterations.
f^4(1) = f^3(1) * f(1) = 8*2 = 16
f^(5)(1) = f^4(1) * f(1) = 16 * 2 = 32
f^6 (1) = f^5 (1) * f(1) = 32 * 2 = 64
f^7 (1) = f^6 (1) * f(1) = 64 * 2 = 128
f^8 (1) = f^7 (1) * f(1) = 128 * 2 = 256
f^9 (1) = f^8 (1) * f(1) = 256 * 2 = 512
f^10 (1) = f^9 (1) * f(1) = 512 * 2 = 1024
2. Repeat the process with an initial value of −1. What happens as the number of iterations grows?
f(-1) = 2(-1) = - 2
f^2 (-1) = f(-1) * f(-1) = - 2 * - 2 = 4
f^3 (-1) = f^2 (-1) * f(-1) = 4 * (-2) = - 8
f^4 (-1) = f^3 (-1) * f(-1) = - 8 * (-2) = 16
f^5 (-1) = f^4 (-1) * f(-1) = 16 * (-2) = - 32
As you see the magnitude of the number increases, being multiplied by 2 each time, and the sign is aleternated, negative positive negative positive ...
Ответ:
70%
Step-by-step explanation:
Dont click any questions with weird looking letters. Dont click . today!
IT'S A BOT DONT CLICK ON THE LINK IT TAKES YOU TO AN INNAPROPIATE WEBSITE!!! POST THIS IN OTHER COMMENT SECTIONS WE NEED TO SPREAD AWARENESS