Function/NOT a Function

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 definition of 'not a function'?

Back

A relation is 'not a function' if at least one input (x-value) has more than one output (y-value).

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does the ordered pair (1,5) represent in a function?

Back

In a function, (1,5) means that the input 1 corresponds to the output 5.

Front

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

Back

No, because the input 1 has two different outputs (5 and 7).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

If a relation has the pairs (2,3), (2,4), (5,6), is it a function?

Back

No, because the input 2 has two outputs (3 and 4).

Front

What does it mean if a function is defined as f(x) = 2x + 3?

Back

It means for every input x, the output is calculated by multiplying x by 2 and then adding 3.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x gives a unique output.