Identifying Functions

What defines a mathematical function in terms of x and y values?

• Each x value can pair with multiple y values.

• Each y value must pair with only one x value.

• Each x value must pair with only one y value.

• There are no restrictions on how x and y values pair.

In a function, what is the significance of having each x value pair with a unique y value?

• It allows multiple outputs for each input.

• It prevents the function from being graphed.

• It ensures the function is reversible.

• It confirms the function's consistency.

How does a function differ from a non-function in terms of x and y pairing?

• A non-function pairs each x value with exactly two y values.

• A function allows multiple y values for one x value.

• A non-function allows only one y value for one x value.

• A function pairs each x value with exactly one y value.

Why is the table with x values -2 paired with different y values not considered a function?

• It allows an x value to pair with more than one y value.

• It does not have enough data points.

• All x values are negative.

• It only uses integers for y values.

What does the presence of the same x value paired with different y values in a table indicate?

• The table represents a linear function.

• The table represents a non-function.

• The table represents a discrete function.

• The table represents a continuous function.

What can be inferred if each x value in a set of points is paired with only one y value?

• The set of points represents a non-function.

• The set of points cannot be graphed.

• The set of points represents a function.

• The set of points is incomplete.

What does the vertical line test determine about a graph?

• The intercepts of the graph.

• The symmetry of the graph.

• The maximum and minimum points on the graph.

• Whether the graph represents a function.

Which method involves using vertical lines to determine if a graph represents a function?

• Point plotting method

• Horizontal line test

• Vertical line test

• Diagonal line test

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

• The graph is a linear function.

• The graph represents a non-function.

• The graph is perfectly symmetrical.

• The graph has an undefined slope.

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

• All y values map back to a single x value.

• At least one x value maps to more than one y value.

• Each x value maps to exactly one y value.

• Each x value maps to exactly two y values.