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What is the range of a a function f when it is defined by f x 2 cos 3 x where x is a real number?
ScottCassidy
f(x) = 2 cos 3x
The amplitude: A = |2| = 2
The maximum value of the function: 2
The minimum value of the function: -2
The range: [-2, 2]
Wiki User
∙ 15y ago
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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.
How do you determine the domain and range of relations and functions?
Some functions are only defined for certain values of the argument. For example, the the logarithm is defined for positive values. The inverse function is defined for all non-zero numbers. Sometimes the range determines the domain. If you are restricted to the real numbers, then the domain of the square root function must be the non-negative real numbers. In this way, there are definitional domains and ranges. You can then chose any subset of the definitional domain to be your domain, and the images of all the values in the domain will be the range.
What is the range of the function y equals x?
The function y=x is a straight line. The range is all real numbers.
How do you find the domain?
The domain of a function, is the range of input values which will give you a real answer.For example the domain of x+1 would be all real numbers as any number plus 1 will be another real numberThe domain of x0.5 would be all positive numbers as the answer to square root of a negative number is not realNote:x0.5 means the square root of x* * * * *Not quite. A function is a one-to-one or many-to-one mapping from a set S to a set T (which need not be a different set). A function can be one whose domain is all the cars parked in a street and the range is the second character of their registration number.A mathematical function can have the complex field as its domain and range, so a real answer is not a necessary requirement for a function.
Domain and range of x2?
y can be any real number more than or equal to zero --> Range x can be any real number--> Domain
What is real value function?
a function whose range is in the real number
What is real value?
a function whose range is in the real number
What is the range of an absolute value function?
the range is a positive real number
What is the domain and range for the following function and its inverse f of x equals -x plus 5?
The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.
What is s in Laplace transforms?
The Laplace transform of a function f(t), defined for all real numbers t ≥ 0, is the function F(s), defined by: : The parameter s is a complex number: : with real numbers σ and ω. A complex number is defined as a number comprising a real numberpart and an imaginary number part. An imaginary number is a number in the form bi where b is a real number and i is the square root of minus one. (Wiki search)
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.
How do you find the range of a radical function?
The answer depends on what group or field the function is defined on. In the complex plane, the range is the complex plane. If the domain is all real numbers and the radical is an odd root (cube root, fifth root etc), the range is the real numbers. Otherwise, it is the complex plane. If the domain is non-negative real numbers, the range is also the real numbers.
What is the range of absolute value functions My teacher said it would be all real numbers. However I thought it would be positive real numbers. Can you explain who is right and why?
The absolute value of a number is positive, so the range is always a positive real number. You are correct. The domain, that is the value before you take the absolute value, is all real numbers, but the range is always positive.
Define the function of range and domain?
Let the function be f(x) = 1/(x-1) The domain is all allowable values for which the function can be defined. Here, except 1, any number would give the function a meaningful value. If x=1, the denominator becomes 0 and the function becomes undefined. Therefore, the domain is all real numbers except 1. The range is all values assumed by the function. Here, the range is negative infinity to plus infinity (that is , all real numbers).
Why can the value of tan equal any positive real number?
Because that is the way the tan function is defined!
How do you determine the domain and range of relations and functions?
Some functions are only defined for certain values of the argument. For example, the the logarithm is defined for positive values. The inverse function is defined for all non-zero numbers. Sometimes the range determines the domain. If you are restricted to the real numbers, then the domain of the square root function must be the non-negative real numbers. In this way, there are definitional domains and ranges. You can then chose any subset of the definitional domain to be your domain, and the images of all the values in the domain will be the range.
What is aexample of a range?
The ranger of the function f(x)=2x+3 is all real number. The domain is all real numbers as well.
