Is it a Function?

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 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

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where 'x' is the input and 'y' is the output.

Front

Is the set {(1, 2), (1, 3), (2, 4)} a function?

Back

No, because the x-value 1 is paired with two different y-values (2 and 3).

Front

Is the set {(2, 3), (3, 4), (4, 5)} a function?

Back

Yes, because each x-value has only one corresponding 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

If a function has an x-value of 5, can it have two different y-values?

Back

No, a function cannot have two different y-values for the same x-value.

Front

What is a table of values?

Back

A table of values lists pairs of x-values and their corresponding y-values, used to determine if a relation is a function.