Function or Not?

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

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 'not a function'?

Back

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

Front

Given the set {(1,5),(1,7),(3,9),(4,11)}, is this a function?

Back

No, because the input '1' is associated with two different outputs (5 and 7).

Front

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

Back

The output is 11, because f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What is a mapping in mathematics?

Back

A mapping is a way to describe how each element of one set (domain) is paired with an element of another set (range).

Front

If a graph shows a straight line, is it always a function?

Back

Not necessarily; it depends on whether any vertical line intersects it more than once.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.