Functions & Function Notation

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

How do you read f(x)?

Back

You read f(x) as 'f of x'.

Front

What is the significance of x-values in a function?

Back

In a function, each x-value must correspond to only one y-value.

Front

What does it mean if a graph has repeating x-values?

Back

If a graph has repeating x-values, it is not a function because it violates the definition of a function.

Front

What is the output of f(2) if f(x) = 3x + 1?

Back

The output is f(2) = 3(2) + 1 = 7.

Front

Can a function be represented as a set of ordered pairs?

Back

Yes, a function can be represented as a set of ordered pairs, as long as each x-value is unique.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.

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

What is an example of a function?

Back

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