Functions Review Flashcard

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation. For example, if h(x) = x^2 - 4, to find h(6), substitute 6 for x: h(6) = 6^2 - 4 = 32.

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 which the function is defined.

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 does it mean for a relation to be a function?

Back

A relation is a function if each input is associated with exactly one output. If an input corresponds to multiple outputs, it is not a function.

Front

How do you read f(x)?

Back

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

Front

What is the notation for the domain of a function?

Back

The domain can be expressed in interval notation, such as [-3, 1] or (-3, 1].

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs of a function, showing how each input is paired with an output.

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.