Exploring Function Concepts in Part 1

What is a function in mathematical terms?

• A graph where each output has multiple inputs.

• A graph where each input has exactly one output.

• A graph where each input has multiple outputs.

• A graph where each output has exactly one input.

In a table, how can you determine if it represents a function?

• By checking if there are no repeated y values.

• By checking if all x values are different.

• By checking if there are no repeated x values.

• By checking if all y values are different.

What does it mean if an input in a mapping diagram has more than one output?

• It is a linear function.

• It is not a function.

• It is a non-linear function.

• It is a function.

In a mapping diagram, what indicates that it is a function?

• Each input has multiple outputs.

• Each input has exactly one output.

• Each output has multiple inputs.

• Each output has exactly one input.

In ordered pairs, what indicates that the set is not a function?

• If all x values are different.

• If any y values are the same.

• If any x values are the same.

• If all y values are different.

When using the vertical line test, what indicates that a graph is a function?

• The vertical line crosses the graph at multiple points.

• The vertical line crosses the graph at least twice.

• The vertical line does not cross the graph.

• The vertical line crosses the graph at exactly one point.

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

• The graph represents a function.

• The graph does not represent a function.

• The graph is linear.

• The graph is non-linear.

What is the purpose of the vertical line test?

• To determine if a graph is linear.

• To determine if a graph is non-linear.

• To determine if a graph represents an equation.

• To determine if a graph represents a function.

Which of the following is true for a linear function?

• It can have multiple y values for a single x value.

• It can have multiple x values for a single y value.

• It has exactly one x value for each y value.

• It has exactly one y value for each x value.

What is the key characteristic of a function in a graph?

• Each y value has exactly one x value.

• Each x value has multiple y values.

• Each y value has multiple x values.

• Each x value has exactly one y value.