Domain and Range Concepts in Functions

The video reviews domain and range concepts from Algebra 1, explaining domain as input values (x-values) and range as output values (y-values). It distinguishes between relations and functions, emphasizing that functions have unique x-values. Visual aids and graph analysis techniques are used to determine domain and range. The vertical line test is introduced to identify functions, and the video concludes with a discussion on bounded and unbounded graphs.

Why is domain and range considered important in Algebra 2?

• They are not relevant beyond Algebra 2.

• They are foundational concepts for advanced mathematics.

• They are only used in geometry.

• They are only used in Algebra 2.

What is the domain of a function?

• The set of all possible z-values.

• The set of all possible y-values.

• The set of all possible input values.

• The set of all possible output values.

How is the domain read on a continuous graph?

• From top to bottom.

• From right to left.

• From left to right.

• From bottom to top.

What is the range of a function?

• The set of all possible z-values.

• The set of all possible x-values.

• The set of all possible output values.

• The set of all possible input values.

How is the range read on a graph?

• From left to right.

• From top to bottom.

• From bottom to top.

• From right to left.

What is a relation in terms of domain and range?

• A set of unrelated numbers.

• A pairing of inputs and outputs.

• A set of only outputs.

• A set of only inputs.

What is a function in terms of domain and range?

• A relation where inputs can repeat.

• A relation where outputs can repeat.

• A relation with no inputs.

• A relation where each input has exactly one output.

What is the vertical line test used for?

• To determine if a graph is a relation.

• To determine the domain of a graph.

• To determine if a graph is a function.

• To determine the range of a graph.

What does it mean if a vertical line touches a graph at two points?

• The graph has no domain.

• The graph is a relation.

• The graph is not a function.

• The graph is a function.

What is a bounded graph?

• A graph with infinite endpoints.

• A graph with only one endpoint.

• A graph with endpoints on both sides.

• A graph with no endpoints.