Domain, Range, Functions

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

How do you find f(0) for the function f(x) = -3(x-1)?

Back

To find f(0), substitute 0 for x: f(0) = -3(0-1) = 3.

Tags

CCSS.HSF.IF.A.2

Front

Is y a function of x if each x-value corresponds to multiple y-values?

Back

No, if each x-value corresponds to multiple y-values, then y is not a function of x.

Tags

CCSS.8.F.A.1

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 the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

What is the notation for domain?

Back

The domain is often denoted as D(f) or simply as the set of x-values for which the function is defined.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the notation for range?

Back

The range is often denoted as R(f) or simply as the set of y-values that the function can take.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If the domain of a function is x ≥ 2, what does this mean?

Back

This means that the function is defined for all x-values that are greater than or equal to 2.