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Calculus -Domain & Range (Example: ( (The domain of this function is,…
Calculus -Domain & Range
Example:
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x≥−4, since x cannot be less than
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−4. To see why, try out some numbers less than
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8) in your calculator. The only ones that "work" and give us an answer are the ones greater than or equal to
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The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
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Rules: The domain is all real numbers x such that x ≥ 0 and the range is all real numbers f(x) such that f(x) ≥ 7. C) The domain is all real numbers x such that x ≥ 0 and the range is all real numbers.
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B) The domain is all real numbers x such that x ≥ 0 and the range is all real numbers f(x) such that f(x) ≥ 7.
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· the function is a radical function with an even index (such as a square root), and the radicand can be negative for some value or values of x.
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Definitions of Domain and Range
In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values. When finding the domain, remember: The denominator (bottom) of a fraction cannot be zero.
