12.6 Unit 5 Flashcard Review

Front

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

Back

D: {-4, 0, 1, 2}

Front

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

Back

R: {-4, -3, 1}

Front

What defines a function in mathematics?

Back

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

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, because the input '1' has two different outputs.

Front

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, each input has exactly one output.

Front

What is an example of a function?

Back

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

Front

What is an example of a relation that is not a function?

Back

The set {(1,2), (1,3)} is not a function because the input '1' maps to two outputs.

Front

How can you determine if a table of values represents a function?

Back

Check if any input value is repeated with different output values.

Front

What is the vertical line test?

Back

If a vertical line intersects a graph at more than one point, it is not a function.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs.