Functions and Direct Variation

Front

What is a function?

Back

A relation where every input yields one and only one output.

Front

What is the ordered pair of point A if A is at (0, 6)?

Back

(0, 6)

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if every vertical line intersects the graph at most once.

Front

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

Back

A relation where an input has multiple outputs, such as the set of ordered pairs {(1, 2), (1, 3)}.

Front

What is a mapping in the context of functions?

Back

A mapping shows how each element of a set is paired with an element of another set.

Front

What is direct variation?

Back

A relationship between two variables where one variable is a constant multiple of the other.

Front

What is the general form of a direct variation equation?

Back

y = kx, where k is a non-zero constant.

Front

How can you identify direct variation from a table of values?

Back

If the ratio of y to x is constant for all pairs of values, then y varies directly with x.

Front

What does it mean if a set of ordered pairs is a function?

Back

Each input (x-value) corresponds to exactly one output (y-value).

Front

What is the vertical line test?

Back

A method to determine if a graph is a function by checking if any vertical line intersects the graph more than once.