8th Conn - Domain and Range from graph

Front

What is the DOMAIN of a graph?

Back

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

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers. Look for the leftmost and rightmost points of the graph.

Front

What does the notation -4 ≤ x ≤ 3 mean?

Back

This notation means that x can take any value from -4 to 3, including -4 and 3.

Front

What is the RANGE of a graph?

Back

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

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph covers. Look for the lowest and highest points of the graph.

Front

What does the notation -2 ≤ y ≤ 10 mean?

Back

This notation means that y can take any value from -2 to 10, including -2 and 10.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you tell if a relation is a function from a graph?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an example of a domain in interval notation?

Back

An example of a domain in interval notation is [-1, 4], which means x can take any value from -1 to 4, including -1 and 4.

Front

What is an example of a range in interval notation?

Back

An example of a range in interval notation is (0, 5), which means y can take any value greater than 0 and less than 5, but not including 0 and 5.