Functions or Not Functions Flashcard

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

What does the vertical line test determine?

Back

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

Front

Which of the following is NOT a function? (9,5) (10,5) (9,-5) (10,-5) or (2, -2) (5, 9) (5, -7) (1, 4)

Back

(2, -2) (5, 9) (5, -7) (1, 4) is NOT a function because the input 5 has two different outputs.

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

The output is 11.

Front

If a mapping has the pairs (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 definition of a relation?

Back

A relation is a set of ordered pairs, which can include functions.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output.

Front

What does it mean for a mapping to be 'not a function'?

Back

A mapping is 'not a function' if at least one input has more than one output.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.