Properties of Functions & Interval Notation

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the definition of interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values on the number line.

Front

What does the notation (a, b) represent?

Back

The notation (a, b) 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?

Back

The notation [a, b] 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?

Back

The notation (a, b] represents a half-open interval, meaning it includes all numbers between a and b, including b but not a.

Front

What does the notation (-∞, a) represent?

Back

The notation (-∞, a) represents all real numbers less than a.

Front

What does the notation [a, ∞) represent?

Back

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

Front

How do you express the union of two intervals?

Back

The union of two intervals is expressed using the symbol U, for example, (a, b) U (c, d) represents all numbers in either interval.

Front

What is the y-intercept of a linear function?

Back

The y-intercept of a linear function is the point where the graph intersects the y-axis, represented as (0, b) where b is the y-value.

Front

How do you find the y-intercept from the equation of a line?

Back

To find the y-intercept from the equation of a line in the form y = mx + b, simply identify the value of b.