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 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

Is the relation {(1, 2), (2, 3), (1, 4)} a function?

Back

No, because the x-value 1 is paired with two different y-values (2 and 4).

Front

Is the relation {(3, 5), (4, 6), (5, 7)} a function?

Back

Yes, because each x-value has only one y-value associated with it.

Front

What does it mean if a function is one-to-one?

Back

A one-to-one function is a function where each output (y-value) is paired with exactly one input (x-value). No y-values repeat.

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 y-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where x is the input and y is the 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.

Front

If a graph has a curve, can it still be a function?

Back

Yes, a graph can be a function even if it has curves, as long as it passes the vertical line test.