Exploring Functions in Edpuzzle

Mrs. Allman introduces the concept of functions, focusing on the relationship between inputs and outputs. She explains that a function is defined by each input having a single output, using x and y values. The vertical line test is introduced as a method to determine if a graph represents a function. Mapping diagrams and tables are also used to identify functions, emphasizing that x values should not repeat. The lesson revisits concepts from elementary school, reinforcing the idea that every input must have one output.

What does the term 'input' refer to in the context of functions?

• The output values only

• The graph of the function

• The x-values of a function

• The y-values of a function

What is the primary characteristic of a function in terms of its x-values?

• Each x-value maps to exactly two y-values

• Each x-value maps to exactly one y-value

• X-values can repeat

• There are no restrictions on x-values

What does the vertical line test determine about a graph?

• If it is a function based on x-values

• If it is a function based on y-values

• Whether it represents a linear equation

• Whether it represents a function

If a vertical line crosses a graph at more than one point, what does it indicate?

• The graph is definitely a function

• The graph might be a function

• The graph is not a function

• The graph represents a linear relationship

What does the vertical line test help to visualize?

• The maximum values on the graph

• The intercepts of the graph

• The symmetry of the graph

• The relationship between inputs and outputs

In a mapping diagram, what indicates that it is not a function?

• Each input maps to exactly one output

• An input maps to more than one output

• All outputs are the same

• Inputs do not repeat

What does it mean if all inputs in a mapping diagram map to the same output?

• It is always a function

• It is never a function

• It can be a function if each input has only one output

• It indicates a linear function

Which scenario in a mapping diagram confirms it represents a function?

• Outputs are mapped to multiple inputs

• Each input maps to exactly one output

• Each input maps to no outputs

• Each input maps to multiple outputs

What is the result if a table shows an x-value paired with multiple y-values?

• It has no impact on determining if it's a function

• It indicates the table does not represent a function

• It suggests the table might represent a function

• It confirms the table represents a function

In function tables, what is crucial for confirming it as a function?

• All x-values must be unique

• All y-values must be unique

• Each x-value must pair with exactly one y-value

• Each x-value must pair with multiple y-values