Math 2: CW 1.10-B Interval Notation (Domain/Range)

Front

What is the RANGE of a function?

Back

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

Front

What is the DOMAIN of a function?

Back

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

Front

What does the interval notation [-1, ∞) represent?

Back

It represents all real numbers starting from -1 (inclusive) and extending to positive infinity.

Front

What does the interval notation (3, ∞) represent?

Back

It represents all real numbers greater than 3 (exclusive) extending to positive infinity.

Front

What does the interval notation [-2, 3) represent?

Back

It represents all real numbers from -2 (inclusive) to 3 (exclusive).

Front

What does the interval notation (0, 5) represent?

Back

It represents all real numbers greater than 0 and less than 5 (exclusive).

Front

How do you denote an interval that includes both endpoints?

Back

You use square brackets, e.g., [a, b] includes both a and b.

Front

How do you denote an interval that excludes one or both endpoints?

Back

You use parentheses, e.g., (a, b) excludes both a and b, while [a, b) includes a but excludes b.

Front

What is the significance of using interval notation in mathematics?

Back

Interval notation provides a concise way to describe sets of numbers, particularly for domains and ranges.

Front

What is the range of the function f(x) = x^2 for x in [-2, 3]?

Back

The range is [0, 9] because the minimum value occurs at x=0 and the maximum at x=3.