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What is the domain and range of the sine function y is equal to 2 sin x?
Psychiper
Domain (input or 'x' values): -∞ < x < ∞.
Range (output or 'y' values): -2 ≤ y ≤ 2.
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What is the range of the sine function?
The domain (input) is all possible angles. The range (output) is -1 to +1.
What is the Domain of the sin function?
The domain of the sine function is all real numbers.
Why sinΞΈ value is less then and equal to one?
If you look at the definition of the sine function in a triangle, you'll discover that the maximum possible value of the sine function is ' 1 ' and the minimum possible value is ' -1 '. There's no angle that can have a sine greater than ' 1 ' or less than ' -1 '. So the absolute value of the sine of anything is always ' 1 ' or less.
What is the difference between domain and range in mathematics?
The domain of a function is the interval of valid input numbers, and the range is the interval of possible output values for a function. Generally, the domain of a function is all real numbers (often signified by a capital R), because for most functions, any number can be input into it and calculated. This is true for most all polynomial functions, exponential functions, and sine/cosine trigonometric functions.However, it is easy to recognize when a function will have a restricted domain:If a function involves a square root, the inside of the square root cannot be a negative number.If a function involves division, the denominator of the division cannot equal zero.If a function involves a logarithm, the inside of the logarithm cannot be zero or negative.Trigonometric functions are fraught with specific domains, with sine and cosine being the only continuous functions.These are the three most common things that will signify that a limited domain is present. Also, the inverse trigonometric functions cos-1(x) and sin-1(x) are limited in domain, but this is not so easy to explain. If interested, message me on here and I will explain them or use Wolfram|Alpha to plot these function and investigate them on your own.For the first type of signification, any square root cannot have a negative number as its argument and remain in the real numbers. So, for instance:y=sqrt(x)This function will not exist for any number less than 0 plugged in for x. Therefore, any number from (and including) zero up to positive infinity will result in a valid answer. The domain is therefore [0,infinity), also shown by 0=-2. This means that the domain is [-2,infinity) or -2=0, which means x>=4Because of the division, x2-4 != 0, which means x cannot equal any -2 or 2ex has no impact on the domainThe final domain is [4,infinity).By using the domain to analyze the first part of the function, you can realize that the first division part of the function can never equal a negative number. The top can never be negative, so the bottom must be negative for the entire thing to be negative. The bottom cannot be negative, however, because the x-value must be less than 2 for the bottom to be negative, but the domain does not cover these values.The first part of the function can at the least equal 0, so this is to say that at the least, this whole function would resemble y=ex+0, which has a minimum of approaching zero.Conceivably, there is no maximum to the y-values attainable by the function.The final range is (0,infinity).
Is sine greater than one?
No angle has a sine function greater than 1.
What is the domain of the sine function?
The domain of the sine function is [-infinity, +infinity].The range is [-1, +1].The sine function is periodic. It repeats itself every 360 degrees or 2PI radians.
What is the range of the sine function?
The domain (input) is all possible angles. The range (output) is -1 to +1.
What is the domain of a sine curve?
The domain of the sine function is all real numbers, or (-∞, ∞). Note the curly brackets around this interval, when a domain or range includes positive or negative infinity, it is never inclusive.
What is the Domain of the sin function?
The domain of the sine function is all real numbers.
How are a reasonable domain and range determined for a function?
By having some knowledge about the functions involved. The natural domain is the domain for which the function is defined. For example (assuming you want to work with real numbers): The square root of x is only defined for values of x greater or equal to zero. The corresponding range can also be zero or more. The sine function is defined for all real numbers. The values the function can take (the range), however, are only values between -1 and 1. A rational function (a polynomial divided by another polynomial) is defined for all values, except those where the denominator is zero. Determining the range is a bit more complicated here.
What is the domain of a sine function?
It is infinite, in both directions. But it can be restricted to a smaller interval.
What is the domain and range for the function 3sin2x?
The domain of f(x)=3sin(2x) is all real numbers ----Any number can be input into this function and receive a valid output The range of f(x)=3sin(2x) is [-3,3] ----The range of y=sin(x) is [-1,1] frequency modulation, which happens when the argument of a sine function is modified, does not affect the range of a cosine or sine function, so the range of y=sin(2x) is also [-1,1]. Amplitude modulation, which happens when the entire function is multiplied by a numerical constant, does affect the range. If any number put into y=sin(2x) will output a maximum of 1, the most an input can cause in y=3sin(2x) will be 3 times the maximum of y=sin(2x), and the same for the minimums, so the range of y=3sin(2x) is from -3 to 3. If you would like a more complete explanation of the concepts underlying domain and range of functions, message me and I can more completely explain them.
A sentence using the word sine die?
First of all, a sine is the trigonometric function that is equal to the ratio of the opposite a given angle to the hypotenuse.The teacher told us to use the word sine in a sentence.He told us what a sine is and how you use it.A sine is the trigonometric function that is equal to the ratio of the opposite a given angle to the hypotenuse.
Explain why the range of the arc sin function is restricted to x?
The range of the arcsinx function is restricted because it is the inverse of a function that is not one-to-one, a characteristic usually required for a function to have an inverse. The reason for this exception in the case of the trigonometric functions is that if you take only a piece of the function, one that repeats through the period and is able to represent the function, then an inverse is obtainable. Only a section that is one-to-one is taken and then inverted. Because of this restriction, the range of the function is limited.
Why domain of sine is -infinity x infinity?
Because the argument of the sine function can have any real value. In fact, it can extend beyond that but that is for more advanced level students.
What are the Differentiate the sine wave and cosine wave?
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
How is sine affiliated with waves?
Waves are periodic function, as is the sine function.
