Mon, 9/8 HW ALG

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 {(1,5),(1,7),(3,9),(4,11)} a function?

Back

No, because the x-value 1 has two different y-values (5 and 7).

Front

Is the graph of y = x^2 a function?

Back

Yes, because each x-value has only one corresponding y-value.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

Is the table of values: (1,2), (2,3), (3,4) a function?

Back

Yes, because each x-value has a unique y-value.

Front

What is an example of a non-function?

Back

The relation {(2,3), (2,4)} is not a function because the x-value 2 has two different y-values.

Front

How can you tell if a graph is not a function?

Back

If a vertical line drawn through the graph intersects it at more than one point, it is not a function.

Front

What is the definition of a relation?

Back

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

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.