Exploring Functions and the Vertical Line Test

What is a function in mathematical terms?

• A process that assigns no output to any input.

• A process that assigns exactly one output to each input.

• A process that assigns multiple outputs to one input.

• A process that assigns one input to multiple outputs.

In the vending machine analogy, what does the input represent?

• The item that comes out of the machine.

• The code you type in.

• The money you insert.

• The machine itself.

What is the key rule about functions regarding input and output values?

• A function can assign one output to multiple inputs.

• A function can only assign one output to each input.

• A function can assign no output to any input.

• A function can assign multiple outputs to one input.

If a vending machine gives different items for the same code, is it a function?

• No, because it assigns no output to any input.

• Yes, because it assigns one input to multiple outputs.

• Yes, because it provides an output.

• No, because it assigns multiple outputs to one input.

In a set of ordered pairs, what do the x-values represent?

• Output values.

• Input values.

• Both input and output values.

• Neither input nor output values.

Why is the set of ordered pairs {(2, 3), (2, 9)} not a function?

• Because it assigns multiple inputs to one output.

• Because it assigns one output to multiple inputs.

• Because it assigns one input to multiple outputs.

• Because it assigns no output to any input.

In a table, what indicates that it represents a function?

• Each input value is assigned to exactly one output value.

• Each output value is assigned to multiple input values.

• Each output value is assigned to no input values.

• Each input value is assigned to multiple output values.

What does the vertical line test determine?

• If a graph has multiple inputs.

• If a graph has multiple outputs.

• If a graph has no outputs.

• If a graph represents a function.

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

• The graph has no outputs.

• The graph does not represent a function.

• The graph has no inputs.

• The graph represents a function.

Which of the following points on a graph would indicate it is not a function?

• (4, 5) and (4, 5)

• (2, 0) and (3, 0)

• (1, 3) and (2, 3)

• (0, 4) and (0, -4)