Domain and Range

Front

What is the definition of Domain?

Back

The collection of all inputs or x-values in a relation.

Front

What is the definition of Range?

Back

The collection of all outputs or y-values in a relation.

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

Back

-3 ≤ x ≤ 3

Front

What is the range of the function f(x) = x^2 for x in [-3, 3]?

Back

0 ≤ y ≤ 9

Front

Given the graph, what are the domains: -4, -1, 4, 5, 8, -6, 0, 2, 3, 4, 1, 0, 9, -4, 5, -6, 0, 4, 5, 8?

Back

-6, 0, 2, 3, 4

Front

What does it mean for a function to have only one output for each input?

Back

It means the function is well-defined and passes the vertical line test.

Front

What is the vertical line test?

Back

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

Front

If a function has a domain of {1, 2, 3}, what are the possible outputs?

Back

The outputs depend on the function's rule, but each input must have one corresponding output.