Understanding Functions and Relations

Mr. Ziegler introduces the concept of functions, explaining how they relate inputs to outputs. He uses examples to demonstrate how functions work, including ordered pairs and mapping diagrams. The video also covers how to identify functions from relations and solve problems using mapping diagrams. Finally, a cost analysis example is used to illustrate the application of functions in real-world scenarios.

What is a function in the context of relations?

• A relation where outputs are not related to inputs

• A relation where each input is paired with exactly one output

• A relation where each input is paired with multiple outputs

• A relation that does not involve any inputs

In the example given, what rule was applied to the inputs to get the outputs?

• Subtract 2

• Add 4

• Multiply by 3

• Divide by 2

What do ordered pairs consist of?

• An input and a constant

• Two X values

• An X and a Y value

• Two Y values

How can you determine if a relation is a function?

• If inputs and outputs are equal

• If each input has exactly one output

• If there are more outputs than inputs

• If each output has exactly one input

What is the first step in creating ordered pairs from a mapping diagram?

• Identify the outputs

• List all possible pairs

• Identify the inputs

• Draw a graph

What pattern is observed in the inputs in the given exercises?

• Decreasing by 2

• Increasing by 3

• Decreasing by 1

• Increasing by 1

How does the cost per ticket change as more tickets are bought?

• It doubles

• It decreases by $2

• It remains constant

• It increases by $2