What is the domain of the function $$f(x) = \frac{1}{x}$$ ?

The domain is all real numbers except x = 0, written as $$(-\text{∞}, 0) igcup (0, \text{∞})$$ .

What is the range of the function $$f(x) = x^2$$ ?

The range is all real numbers greater than or equal to 0, written as $$[0, \text{∞})$$ .

What is the domain of the function $$f(x) = \frac{1}{x^2 - 4}$$ ?

The domain is all real numbers except x = -2 and x = 2, written as $$(-\text{∞}, -2) igcup (-2, 2) igcup (2, \text{∞})$$ .

What is the range of the function $$f(x) = \text{sin}(x)$$ ?

The range is all real numbers between -1 and 1, written as $$[-1, 1]$$ .

What is the domain of the function $$f(x) = \text{sqrt}(x - 1)$$ ?

The domain is all real numbers greater than or equal to 1, written as $$[1, \text{∞})$$ .

What is the range of the function $$f(x) = \text{sqrt}(x)$$ ?

The range is all real numbers greater than or equal to 0, written as $$[0, \text{∞})$$ .

What is the domain of the function $$f(x) = \text{log}(x)$$ ?

The domain is all real numbers greater than 0, written as $$(0, \text{∞})$$ .

What is the range of the function $$f(x) = \text{log}(x)$$ ?

The range is all real numbers, written as $$(-\text{∞}, \text{∞})$$ .

What is the domain of the function $$f(x) = \text{tan}(x)$$ ?

The domain is all real numbers except for x = $$\frac{\text{π}}{2} + n\text{π}$$ , where n is any integer.

What is the range of the function $$f(x) = \text{tan}(x)$$ ?

The range is all real numbers, written as $$(-\text{∞}, \text{∞})$$ .

What is the domain of the function $$f(x) = x^2 - 4$$ ?

The domain is all real numbers, written as $$(-\text{∞}, \text{∞})$$ .

Domain and Range

Flashcard

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Easy

•

CCSS

8.F.A.1, HSF.IF.A.1

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Wayground Content

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FLASHCARD QUESTION

Front

What is the definition of 'Domain' in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

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