Function/NOT a Function

Front

What is a function in mathematical terms?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-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 any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

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

Back

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

Front

How can you identify if a set of ordered pairs is a function?

Back

To identify if a set of ordered pairs is a function, check if any x-value is repeated with different y-values. If so, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a two-dimensional space, where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

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 corresponds to only one y-value.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can show how two sets of values are related to each other.

Front

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

Back

The x-value, or input, is significant because it determines the corresponding y-value, or output, in a function.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the x-values and y-values, typically plotted on a coordinate plane.

Front

What does it mean for a graph to pass the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, confirming it is a function.