Mathematics, 09.03.2020 10:00 2003loganreed

Can someone help me with this

Answers: 1

Show answers

Answers

Answer from: Jolenesopalski

Period = 4

Amplitude = 3

Step-by-step explanation:

Period is the interval of one "cycle" before the pattern repeats.

If you notice that when x = 0, y = -4.

When does the pattern repeat (reach -4 again)?

when x = 4.

So the interval of one "cycle" is 4 units --> Period = 4.

$Amplitude=\dfrac{Max-Min}{2}=\dfrac{2-(-4)}{2}=\dfrac{6}{2}=\bold{\large\boxed{3}}$

Answer from: carlosiscr7

amplitude: depends on your definition (see discussion)period: 4

Step-by-step explanation:

For the definition of "amplitude" you are to use in this situation, you should refer to your curriculum materials. When the function is symmetrical about its average value, the amplitude is defined as the (positive) maximum difference between the function and its average value.

Here, the average value of this function is 1/2, so the amplitude in the positive direction is 2 -0.5 = 1.5, and in the negative direction, it is 0.5 -(-4) = 4.5. The amplitude of this function could be said to be 4.5.

In some cases, the amplitude is described as half the difference between the maximum and minimum. Here, the maximum is 2 and the minimum is -4, so the difference is 6. Half that would be 3, so the amplitude of this function could be said to be 3.

In other cases where the function shows this kind of asymmetry, the amplitude is considered to be the deviation from a baseline. We could take y=2 to be the baseline, so the amplitude would be 2 -(-4) = 6. The amplitude of this function could be said to be 6.

In short, the amplitude depends on your definition when the function is not symmetrical about a horizontal line.

_____

The period is the horizontal distance between repetitions of the function values. Here, we can see the negative peaks occur every 4 units. The period is 4 units.

_____

Comment on average value

The average value is found by integrating the function over one period and dividing that integral by the length of the period. Here it is ...

$\displaystyle\frac{1}{4}\int^4_0{f(x)} \, dx =\frac{1}{2}$

You can verify this is the case by computing the area above the line y=1/2 and the area below the line y=1/2. You find they are both 27/8.

Answer from: Quest

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height: 2cm

Answer from: Quest

the answer is b

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Which of the following questions is a statistical question? (2 points) how many professional sport leagues are there? where do the professional sport leagues play? how many hours of professional training took place over the weekend? how many hours do you spend each week training for a sports league?

Answers: 1

Answer

Mathematics, 21.06.2019 13:40

Aparallel system functions whenever at least one of its components works. consider a parallel system of n components, and suppose each component works independently with probability 0.5. find the conditional probability that component n works given that the system is working

Answers: 3

Answer

Mathematics, 21.06.2019 17:10

Consider the functions below. function 1 function 2 function 3 select the statement which is true about the functions over the interval [1, 2] a b function 3 has the highest average rate of change function 2 and function 3 have the same average rate of change. function and function 3 have the same average rate of change function 2 has the lowest average rate of change d.

Answers: 3

Answer

Mathematics, 22.06.2019 00:30

If it 8 inch candle burns at 7/10 inch per hour and a 6 inch candle burns at 1/5 inch per hour after how many hours would both candles be the same height

Answers: 1

Answer

You know the right answer?

Can someone help me with this
...

Questions

Mathematics, 08.12.2021 06:30

Van is watching birds in his backyard. There are 9 sparrows or 45% sparrows. How many birds are in his backyard?...