Function or Not?

Front

What is a function?

Back

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

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

Does the graph of a circle represent a function?

Back

No, because a vertical line can intersect the circle at two points.

Front

What does it mean for an x-value to repeat in a set of ordered pairs?

Back

If an x-value repeats with different y-values, the relation is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

What is the definition of a relation?

Back

A relation is any set of ordered pairs.

Front

If a set of ordered pairs is {(1, 2), (1, 3), (2, 4)}, is it a function?

Back

No, because the x-value 1 is associated with two different y-values (2 and 3).

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.