Domain and Range

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Identify the domain of the relation: {(-6,14), (0,32), (2,38), (4,44)}

Back

{-6, 0, 2, 4}

Front

Identify the range of the relation: {(-6,14), (0,32), (2,38), (4,44)}

Back

{14, 32, 38, 44}

Front

What is a function?

Back

A relation where every input has only ONE output.

Tags

CCSS.8.F.A.1

Front

Is the following relation a function? {(-1,2), (0,3), (1,2), (1,4)}

Back

Not a Function

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

What is an example of a function?

Back

f(x) = 2x + 3, where for every x there is a unique y.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

[1, ∞) because x must be greater than or equal to 1.

Front

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

Back

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