Domain and Range of Graphs

Front

What is the definition of 'domain' in relation to graphs?

Back

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

Front

What is the definition of 'range' in relation to graphs?

Back

The range of a graph is the set of all possible output values (y-values) that the function can produce.

Front

What does the notation (-3, 3) represent in terms of range?

Back

It represents all real numbers greater than -3 and less than 3, not including -3 and 3.

Front

What does the notation [5, ∞) represent in terms of domain?

Back

It represents all real numbers greater than or equal to 5.

Front

How do you determine the domain of a function from its graph?

Back

Identify the x-values for which the graph exists; these values make up the domain.

Front

How do you determine the range of a function from its graph?

Back

Identify the y-values that the graph reaches; these values make up the range.

Front

What is the domain of the function f(x) = √(x + 4)?

Back

The domain is x ≥ -4, since the expression under the square root must be non-negative.

Front

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

Back

The range is y ≤ 0, since the function produces values that are less than or equal to 0.

Front

If a graph has a domain of -5 ≤ x ≤ 5, what does this mean?

Back

It means that the function is defined for x-values from -5 to 5, inclusive.

Front

What is the range of the function f(x) = 2x + 1?

Back

The range is all real numbers, since a linear function can produce any y-value.