Domain and Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

How do you find the range of a set of ordered pairs?

Back

Identify all the second elements (y-values) in the ordered pairs.

Front

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

Back

All real numbers (since there are no restrictions on x).

Front

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

Back

y ≥ 0 (since the output of x^2 is always non-negative).

Front

What does it mean if a function is defined only for certain x-values?

Back

It means that the domain is restricted to those specific values.

Front

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

Back

All real numbers except x = 0 (since division by zero is undefined).

Front

How can you represent the domain of a function graphically?

Back

By identifying the x-values that correspond to points on the graph.

Front

What is the range of the function f(x) = -x + 4?

Back

All real numbers (since it is a linear function with a negative slope).

Front

What is an example of a function with a limited domain?

Back

f(x) = √x, where the domain is x ≥ 0.