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valentinak56 [21]
3 years ago
7

How do you know if a graph you are looking at shows a periodic function? How do you determine the period of the graph?

Mathematics
1 answer:
mylen [45]3 years ago
6 0

Answer:

A function f(x) is said to be periodic, if there exists a positive real number T such that f(x+T) = f(x).

You can also just say: A periodic function is one that repeats itself in regular intervals.

Step-by-step explanation:

The smallest value of T is called the period of the function.

Note: If the value of T is independent of x then f(x) is periodic, and if T is dependent, then f(x) is non-periodic.

For example, here's the graph of sin x.  [REFER TO PICTURE BELOW]

Sin x is a periodic function with period  2π  because  sin(x+2π)=sinx  

Other examples of periodic functions are all trigonometric ratios, fractional x (Denoted by {x} which has period 1) and others.

In order to determine the period of the determined graph however, just know that the period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

Hopefully this helped a bit.

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The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number
Rudik [331]

9514 1404 393

Answer:

  C- (14, 4); The vertex represents the maximum profit.

Step-by-step explanation:

The leading coefficient of the quadratic function is negative, so the graph opens downward, and the vertex represents a maximum.

The maximum value is at ...

  x = -b/(2a) = -28/(2(-1)) = 14

  f(14) = -14^2 +28(14) -192 = 4

The vertex is (14, 4). It represents the maximum profit.

4 0
2 years ago
Camila ubicó 90 botellas en una estantería de un supermercado y de ellas eran de jugo sin azúcar.Si los jugos sin azúcar tienen
Tom [10]

Camila puso 30 botellas de cada sabor en la estantería.

Dado que Camila ubicó 90 botellas en una estantería de un supermercado, y los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, para determinar la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería se debe realizar el siguiente cálculo:

  • 90/3 = X
  • 30 = X

Por lo tanto, Camila puso 30 botellas de cada sabor en la estantería.

Aprende más en brainly.com/question/16991787

3 0
2 years ago
Pre-image point N(6,-3) was dilated to point N'(2, -1). What was the scale factor used?
Aleksandr [31]

Answer:

scale factor = \frac{1}{3}

Step-by-step explanation:

Consider the ratio of the x and y- coordinates, image to original, that is

scale factor = \frac{2}{6} = \frac{-1}{-3} = \frac{1}{3}

8 0
3 years ago
Un boligrafo cuesta 30 ptas mas que un lapiz. Un muchacho ha comprado 8 boligrafos y 15 lapices. En total le han costado 700 pta
Firdavs [7]

Por un sistema de ecuaciones, tiene-se que:

  • Cada lapiz cuesta 20 ptas.
  • Cada boligrafo cuesta 50 ptas.

-------------------------

  • Considera-se un sistema de ecuaciones, con cada boligrafo custando x y cada lapiz custando y.
  • <u>Boligrafo cuesta 30 mas que un lapiz</u>, o sea, x = 30 + y
  • <u>8 boligrafos y 15 lapices cuesta 700</u>, o sea, 8x + 15y = 700

-------------------------

  • Aplicando el <u>primer ecuación en la segunda, </u>tiene-se el cuesto de cada lapiz:

8x + 15y = 700

8(30 + y) + 15y = 700

240 + 8y + 15y = 700

23y = 460

y = \frac{460}{23}

y = 20

Cada lapiz cuesta 20 ptas.

-------------------------

Por fin, el cuesto de cada boligrafo es dado por:

x = 30 + y = 30 + 20 = 50

Cada boligrafo cuesta 50 ptas.

Un problema similar es dado en brainly.com/question/24637096

4 0
2 years ago
A translation can be described by using a vector or direction and distance on the coordinate plane.
Anna007 [38]

Answer:

a

Step-by-step explanation:

took on edge

5 0
3 years ago
Read 2 more answers
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