Domain, Range, Function Notation

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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 any vertical line intersects the graph more than once, it is not a function.

Front

Define domain in the context of functions.

Back

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

Front

Define range in the context of functions.

Back

The range is the set of all possible output values (y-values) for a function.

Front

What does function notation look like?

Back

Function notation is typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you find the rate of change in a linear function?

Back

The rate of change is found by taking the difference in the y-values divided by the difference in the x-values between two points on the line.

Front

What is an example of a function that is not linear?

Back

An example of a non-linear function is f(x) = x^2, which represents a parabola.

Front

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

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output value is associated with exactly one input value.