Function Concepts and Tests

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. For example, f(x) = x + 2 is a function.

Front

What is the output of f(x) = x^2 - 9 when x = -9?

Back

0

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

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

Back

No, because the input 1 has two different outputs (2 and 4).

Front

What is the most common notation used in place of y when working with functions?

Back

f(x)

Front

What does the graph of a function represent?

Back

The graph of a function represents the relationship between the input values (x-axis) and the output values (y-axis).

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

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then it is not a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 3x + 1.

Front

What is the output of f(x) = 2x when x = 4?

Back

8