Introduction to Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Tags

CCSS.8.F.A.1

Front

Identify the domain of the function: f(x) = x^2 for x in [-3, 3].

Back

The domain is -3 ≤ x ≤ 3.

Front

Identify the range of the function: f(x) = x^2 for x in [-3, 3].

Back

The range is 0 ≤ y ≤ 9.

Front

What is an independent variable in a function?

Back

The independent variable is the input value (x) that can be changed freely.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is a dependent variable in a function?

Back

The dependent variable is the output value (y) that depends on the input value (x).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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 is an example of a function?

Back

An example of a function is f(x) = 2x + 3.

Tags

CCSS.8.F.A.1