Is it a function? Coordinates, Tables, Mappings

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph at more than one point.

Front

What does it mean for x-values to repeat in a relation?

Back

If x-values repeat in a relation, it means that there are multiple output values for the same input, which disqualifies it from being a function.

Front

What is a mapping in the context of functions?

Back

A mapping is a representation of how each element in one set (domain) is paired with an element in another set (range).

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the significance of the value of m in a function table?

Back

The value of m can affect whether the table represents a function, but any value of m can still result in a function if it does not cause x-values to repeat.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What is the difference between a function and a relation?

Back

All functions are relations, but not all relations are functions; a function must have unique outputs for each input.

Front

What does it mean for a set of coordinates to represent a function?

Back

A set of coordinates represents a function if no x-coordinate is repeated among the pairs.

Front

What is an example of a function mapping?

Back

An example of a function mapping is {(1,2), (2,3), (3,4)}, where each input has a unique output.