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

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

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

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

How can you express the domain of a function using interval notation?

Interval notation uses brackets and parentheses to describe the set of values. For example, $$(-\text{∞}, 5]$$ means all values less than or equal to 5.

What is the difference between a closed interval and an open interval?

A closed interval includes its endpoints (e.g., $$[a, b]$$ ), while an open interval does not include its endpoints (e.g., $$(a, b)$$ ).

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

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

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

The range is all real numbers between -1 and 1, inclusive, or $$[-1, 1]$$ .

How do you find the domain of a function defined by a fraction?

Identify values that make the denominator zero, as these values are excluded from the domain.

What is the domain of the function $$f(x) = \text{sqrt}(x - 3)$$ ?

The domain is all real numbers greater than or equal to 3, or $$[3, \text{∞})$$ .

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

The range is all real numbers less than or equal to 4, or $$(-\text{∞}, 4]$$ .

STAAR Domain and Range 2.0 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of 'domain' in a function?

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.

2.

FLASHCARD QUESTION

Front

What is the definition of 'range' in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

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