Identifying Functions from Ordered Pairs and Tables

The video tutorial introduces the concept of functions, explaining that a function is a relationship where each input (x value) has exactly one output (y value). The teacher uses the analogy of a coke machine to illustrate this concept. The video covers how to identify functions using ordered pairs, tables, and mappings, emphasizing that repeating x values indicate a non-function. The tutorial includes practice exercises to reinforce the identification of functions.

What is a function in terms of x and y values?

• Each x value can have multiple y values.

• Each x value has exactly one y value.

• Each y value can have multiple x values.

• Each y value has exactly one x value.

In the context of functions, what does it mean if an x value repeats?

• It means the function is undefined.

• It depends on the y values.

• It is not a function.

• It is still a function.

Why is the set of ordered pairs (1, 2), (1, 3), (2, 4) not a function?

• Because the y values are different.

• Because the x values are different.

• Because the x values are the same.

• Because the y values are the same.

In a table, what indicates that it is not a function?

• All x values are different.

• All y values are different.

• There are repeating x values.

• There are repeating y values.

Why is the table with x values -1, 0, 1, 2 considered a function?

• Because there are repeating x values.

• Because there are repeating y values.

• Because all x values are different.

• Because all y values are different.

In a mapping, 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.

Why is a mapping where one input goes to two different outputs not a function?

• Because each output should have exactly one input.

• Because each output should have multiple inputs.

• Because each input should have exactly one output.

• Because each input should have multiple outputs.

In the practice example, why is the set of x values -7, -6, -5, -4 considered a function?

• Because there are repeating x values.

• Because there are repeating y values.

• Because all y values are different.

• Because all x values are different.

In the practice example, why is the table with repeating x values not a function?

• Because all y values are different.

• Because there are repeating x values.

• Because there are repeating y values.

• Because all x values are different.

In the practice example, why is the mapping where 5 goes to 2 and 3 not a function?

• Because each output should have exactly one input.

• Because each output should have multiple inputs.

• Because each input should have exactly one output.

• Because each input should have multiple outputs.