Exploring Functions and Their Properties

What are the three main components of a function?

• Input, equation, result

• Input, function, output

• Input, process, result

• Input, rule, output

In the soda machine analogy, what do the buttons represent?

• The machine

• The input values

• The drinks

• The output values

What indicates that a soda machine is not a function?

• It gives no drink at all

• It gives drinks randomly

• It gives different drinks for the same button

• It gives the same drink every time

In a table, what should each button (X value) give to be considered a function?

• Multiple drinks

• Random drinks

• No drinks

• One specific drink

If a button on a soda machine gives different drinks on different days, what does it indicate?

• The machine is a function

• The machine is working correctly

• The machine is broken

• The machine needs maintenance

What is the vertical line test used for?

• To find the input values

• To find the output values

• To determine if a graph represents a function

• To check the equation of a function

What does it mean if a vertical line crosses a graph more than once?

• The graph represents a function

• The graph does not represent a function

• The graph is incomplete

• The graph is incorrect

In the vertical line test, what does each vertical line represent?

• A button on the soda machine

• An input value

• A drink

• An output value

What is the main idea of a function in terms of input and output?

• Each input has a unique output

• Each input has multiple outputs

• Each output has a unique input

• Each output has multiple inputs

How can you test if a graph represents a function?

• By drawing vertical lines

• By counting the points

• By drawing horizontal lines

• By checking the equation