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
No. The domain is usually the set of Real numbers whereas the range is a subset comprising Real numbers which are either all greater than or equal to a minimum value (or LE a maximum value).
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
The domain of your function is the set of real numbers.
The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
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
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.
No. The domain is usually the set of Real numbers whereas the range is a subset comprising Real numbers which are either all greater than or equal to a minimum value (or LE a maximum value).
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
y = 1/x
The range of y = nx consists of all positive real numbers, and the domain consists of all real numbers.
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The answer depends on the domain. If the domain is non-negative real numbers, then the range is the whole of the real numbers. If the domain is the whole of the real numbers (or the complex plane) , the range is the complex plane.
The domain of your function is the set of real numbers.
The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
It could be a subset: for example, for the function y = log(x), the domain is x > 0. There are many functions whose domain is the complex plane.
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.