Relations and Functions Review

Front

What is the Domain?

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 domain of the graph?

Back

The domain of a graph is the set of all x-values that the graph covers.

Front

What is the range of the graph?

Back

The range of a graph is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2.

Front

What is the range of the function f(x) = x^2?

Back

The range is [0, ∞) because the output is always non-negative.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If a vertical line intersects the graph more than once, it is not a function.

Front

What is an interval notation?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included.

Front

What is the difference between open and closed intervals?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.