Functions, Domain and Range

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.

Tags

CCSS.8.F.A.1

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 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.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

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.

Front

What is an example of a function that is not one-to-one?

Back

The function f(x) = x^2 is not one-to-one because both f(2) and f(-2) yield the same output (4).

Front

What is a constant function?

Back

A constant function is a function that always returns the same value regardless of the input. For example, f(x) = 5.

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.

Tags

CCSS.6.EE.B.8