Boot Camp: Identifying Functions

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values pair with it.

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

How do you determine if a relation is a function?

Back

The vertical line test crosses only one point on the graph.

Front

Which of the following is a function? (Provide an example)

Back

A function is a relation where each input has exactly one output.

Front

What is the domain of the function f(x) = 50 + 0.43x?

Back

D: all integers greater than or equal to 0.

Front

What is the range of the function f(x) = 50 + 0.43x?

Back

R: all real numbers greater than or equal to 50.

Front

What does the vertical line test determine?

Back

It determines if a relation is a function by checking if a vertical line crosses the graph at more than one point.

Front

If a function has an input of 3, and the output is 7, what is the function?

Back

The function could be f(x) = 2x + 1.

Front

What is an example of a non-function?

Back

A relation where an x-value has multiple y-values, like {(1,2), (1,3)}.

Front

What is the importance of functions in mathematics?

Back

Functions model relationships between quantities and are essential for understanding changes.