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To find the domain of the function ( f(x) = x^2 + 1 ), we identify the set of all possible input values for ( x ). Since this is a polynomial function, the domain is all real numbers, expressed as ( (-\infty, \infty) ). The range is determined by analyzing the output values; the minimum value of ( f(x) ) occurs at ( x = 0 ), giving ( f(0) = 1 ). Therefore, the range is ( [1, \infty) ).
What else can I help you with?
Find the domain and range of sin x - cos x?
sin(x)-cos(x) = (1)sin(x)+(-1)cos(x) so the range is sqrt((1)^2+(-1)^2)=1 and the domain is R <><><><><> The domain of sin x - cos x is [-infinity, +infinity]. The range of sin x - cos x is [-1.414, +1.414].
What is the cosines inverse of 2?
The range of cosine is [-1, 1] which is, therefore, the domain of cos-1. As a result, cos-1(2) is not defined.
What are the domain and range of y equals 12?
The domain would be (...-2,-1,0,1,2...); the range: (12)
How do you find the domain and range in ordered pairs?
To find the domain and range in ordered pairs, first, identify the set of all first elements (x-values) from each ordered pair for the domain. For the range, identify the set of all second elements (y-values) from the same pairs. For example, in the ordered pairs (2, 3), (4, 5), and (2, 6), the domain is {2, 4} and the range is {3, 5, 6}. Make sure to list each element only once in the final sets.
What is the domain and range yx2?
y=x^2
How do you find the range of the function with the given domain?
The domain of the function 1/2x is {0, 2, 4}. What is the range of the function?
What is the range of the function y equals x2 plus 1?
The answer depends on the domain. If the domain is the whole of the real numbers, the range in y ≥ 1. However, you can choose to have the domain as [1, 2] in which case the range will be [2, 5]. If you choose another domain you will get another range.
Find the domain and range of sin x - cos x?
sin(x)-cos(x) = (1)sin(x)+(-1)cos(x) so the range is sqrt((1)^2+(-1)^2)=1 and the domain is R <><><><><> The domain of sin x - cos x is [-infinity, +infinity]. The range of sin x - cos x is [-1.414, +1.414].
Find the domain and range fx3x-2?
the domain is all real numbers and the range is all real numbers the domain is all real numbers and the range is all real numbers
What is the range when the domain is -2 1 3?
That depends on the specific function.
What is the range of with domain 1 and 2 and 3 and 4?
The range could be anything. Without parameters specified, the domain of {1,2,3,4} could have any range. This problem is unsolvable.
What is the domain and range of y equals the square root of four minus x squared?
The domain and the range depends on the context. For example, the domain and the range can be the whole of the complex field. Or I could define the domain as {-2, 1, 5} and then the range would be {0, 3, -21}. When either one of the range and domain is defined, the other is implied.
What is the range of the linear equation if y equals 3x-5 and the Domain equals 0 1 2 or 3?
The range is {-5, -2, 1, 4}
What is the cosines inverse of 2?
The range of cosine is [-1, 1] which is, therefore, the domain of cos-1. As a result, cos-1(2) is not defined.
Domain and range of binary function?
x y -3 2 -1 6 1 -2 3 5
What are the domain and range of y equals 12?
The domain would be (...-2,-1,0,1,2...); the range: (12)
How do you find the domain and range in ordered pairs?
To find the domain and range in ordered pairs, first, identify the set of all first elements (x-values) from each ordered pair for the domain. For the range, identify the set of all second elements (y-values) from the same pairs. For example, in the ordered pairs (2, 3), (4, 5), and (2, 6), the domain is {2, 4} and the range is {3, 5, 6}. Make sure to list each element only once in the final sets.
