Algebra 1 Functions Flashcard

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

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 which the function is defined.

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

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

Front

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

Back

A one-to-one relation is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

Given the relation {(1, 2), (2, 3), (3, 4)}, is it a function?

Back

Yes, it is a function because each input has a unique output.

Front

What is the difference between a relation and a function?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x-value, there is a unique y-value.

Front

What is the output of the function f(x) = 3x - 1 when x = 4?

Back

The output is f(4) = 3(4) - 1 = 12 - 1 = 11.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs of a function, showing how each input is paired with an output.