Domain & Range of Graphs (Set & Interval Notations)

Front

What is the definition of Domain in relation to a graph?

Back

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

Front

What is the definition of Range in relation to a graph?

Back

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

Front

How do you find the Domain of a graph?

Back

By identifying the x-values that the graph covers from left to right.

Front

How do you find the Range of a graph?

Back

By identifying the y-values that the graph covers from bottom to top.

Front

What does interval notation represent?

Back

A way to describe the Domain or Range of a function using intervals.

Front

What is the interval notation for all real numbers?

Back

(-∞, ∞) or [-∞, ∞] depending on whether endpoints are included.

Front

What does a closed interval [a, b] mean?

Back

It includes both endpoints a and b.

Front

What does an open interval (a, b) mean?

Back

It excludes both endpoints a and b.

Front

What is the effect of a vertical stretch on a function?

Back

It multiplies the output values (y-values) by a factor greater than 1.

Front

What is the effect of translating a function to the right?

Back

It shifts the graph horizontally to the right by a specified number of units.