Flashcard - Finding Domain and Range in Interval Notation

Front

In interval notation, positive and negative ∞ are always closed in by ______.

Back

( ) Parentheses

Front

What is the domain of the function represented by the interval notation [-3, ∞)?

Back

The domain includes all real numbers from -3 to positive infinity, including -3.

Front

What is the domain of the graph represented by the interval notation (-∞,∞)?

Back

The domain includes all real numbers.

Front

What is the domain of the graph represented by the interval notation [-1,∞)?

Back

The domain includes all real numbers from -1 to positive infinity, including -1.

Front

What interval notation does the number line graph represent if it starts from -5 and goes to positive infinity?

Back

[-5, ∞) which includes -5 and all numbers greater than -5.

Front

Define 'domain' in the context of functions.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

Define 'range' in the context of functions.

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does the notation (a, b) represent in interval notation?

Back

It represents an open interval, meaning it includes all numbers between a and b, but not a and b themselves.

Front

What does the notation [a, b] represent in interval notation?

Back

It represents a closed interval, meaning it includes all numbers between a and b, including a and b.

Front

What does the notation (a, b] represent in interval notation?

Back

It represents a half-open interval, meaning it includes all numbers between a and b, including b but not a.