"Function or Not a Function"Warm-up

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Is the equation y = x^2 + 5 a function?

Back

Yes, because for every x-value, there is exactly one y-value.

Front

Is the table of values a function if x-values repeat?

Back

No, because a function cannot have the same x-value paired with different y-values.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

Front

Can a graph be a function if it has a loop?

Back

No, a graph with a loop fails the vertical line test and is not a function.

Front

What is an example of a function?

Back

y = 3x + 2 is a function because each x-value has one corresponding y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Front

What is the significance of the y-value in a function?

Back

The y-value represents the output of the function for a given input (x-value).