Flashcard 1: Relations and Functions

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

You can determine if a relation is a function by checking if each input corresponds to only one output.

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 is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for 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 does it mean if a function has repeating input values?

Back

If a function has repeating input values, it means that the relation is not a function, as each input must have only one output.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is {-4, -3, 1}.

Front

What is the significance of the range in a function?

Back

The range indicates the possible output values that the function can produce based on its domain.

Front

What does it mean for a function to be defined?

Back

A function is defined when there is a clear relationship between each input and its corresponding output.