Domain and Range from a graph

Front

What is the definition of Domain in a graph?

Back

The set of all possible x-values (inputs) for which a function is defined.

Front

What is the definition of Range in a graph?

Back

The set of all possible y-values (outputs) that a function can produce.

Front

How do you determine the Domain from a graph?

Back

Identify the x-values that the graph covers from left to right.

Front

How do you determine the Range from a graph?

Back

Identify the y-values that the graph covers from bottom to top.

Front

What is the Domain of the function f(x) = 2x + 3?

Back

(-inf, inf) because it is a linear function.

Front

What is the Range of the function f(x) = 2x + 3?

Back

(-inf, inf) because it can produce all real numbers.

Front

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

Back

[0, inf) because x cannot be negative.

Front

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

Back

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

Front

What is the Domain of the function f(x) = 1/x?

Back

(-inf, 0) U (0, inf) because x cannot be zero.

Front

What is the Range of the function f(x) = 1/x?

Back

(-inf, 0) U (0, inf) because the output cannot be zero.