Algebra III Flashcardizz: Interval Notation Assignment

Front

What is interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values on a number line. It uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

What does the interval notation [-5, ∞) represent?

Back

The interval notation [-5, ∞) represents all real numbers greater than or equal to -5.

Front

What does the interval notation (-∞, 2] represent?

Back

The interval notation (-∞, 2] represents all real numbers less than or equal to 2.

Front

What is the difference between (a, b) and [a, b]?

Back

(a, b) indicates that a and b are not included in the interval (exclusive), while [a, b] indicates that a and b are included (inclusive).

Front

How do you express the range of a function using set notation?

Back

The range of a function can be expressed in set notation as {y | condition}, where 'condition' describes the values that y can take.

Front

What does the notation {y | -6 ≤ y ≤ 3} mean?

Back

This notation means that y can take any value from -6 to 3, including -6 and 3.

Front

What is the range of the function f(x) = x^2 for all real numbers x?

Back

The range of f(x) = x^2 is [0, ∞) because the output is always non-negative.

Front

What does the notation y > 0 indicate about the range?

Back

The notation y > 0 indicates that the range includes all positive real numbers, excluding zero.

Front

How do you determine the range of a graph visually?

Back

To determine the range of a graph visually, look at the lowest and highest points on the graph and identify the y-values that the graph covers.

Front

What is the significance of using infinity (∞) in interval notation?

Back

Infinity (∞) is used in interval notation to indicate that the interval extends indefinitely in that direction (either positive or negative).