Functions Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean for a mapping to represent y as a function of x?

Back

It means that for every input (x), there is exactly one output (y).

Front

What is the vertical line test?

Back

A method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

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.

Front

What does it mean if an x value has more than one corresponding y value?

Back

It means that the relation is not a function, as a function can only have one output for each input.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of x and y values, showing how each input relates to its output.

Front

What is the definition of a mapping?

Back

A mapping is a relationship that pairs each element of one set with an element of another set.

Front

How can you tell if a set of ordered pairs represents a function?

Back

Check if each x value is associated with only one y value.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is related to exactly one input.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.