Functions vocab

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed. Its rate of change is not constant.

Front

What is mapping in the context of functions?

Back

Mapping refers to the relationship between the input values (domain) and output values (range) in a function.

Front

What are x-values in a function called?

Back

X-values are known as the domain of the function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the difference between a function and a relation?

Back

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

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3, which creates a straight line when graphed.

Front

What is the definition of a dependent variable?

Back

A dependent variable is the output of a function, typically represented as y, which depends on the input value (x).

Front

What is an independent variable?

Back

An independent variable is the input of a function, typically represented as x, which can be freely chosen.