Functions or Not Functions Flashcard

Front

What is the definition of a function?

Back

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

Tags

CCSS.8.F.A.1

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 crosses the graph more than once, it is not a function.

Front

What does it mean if a mapping is 'not a function'?

Back

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

Tags

CCSS.8.F.A.1

Front

What is the average rate of change?

Back

The average rate of change is the change in the output value divided by the change in the input value over a specified interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If a graph passes the vertical line test, what can we conclude?

Back

If a graph passes the vertical line test, it is a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

Tags

CCSS.8.F.A.1

Front

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

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Tags

CCSS.8.F.A.1

Front

How can you identify a function from a set of ordered pairs?

Back

A function can be identified from a set of ordered pairs if no two pairs have the same first element (input) with different second elements (outputs).

Tags

CCSS.8.F.A.1

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.