Identifying Functions with graphs

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly 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

Which of the following is a function? {(1,2), (2,3), (3,4), (1,5)}

Back

Not a function, because the input '1' is related to two different outputs (2 and 5).

Front

Which of the following is a function? {(2,3), (3,4), (4,5), (5,6)}

Back

This is a function, as each input is related to exactly one output.

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is related to more than one output.

Front

If a graph has a curve that loops back on itself, is it a function?

Back

No, it is not a function, as it fails the vertical line test.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

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 the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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.