2.7.2 D&R & FACTORING 11-21-24

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible output values (y-values) that the function can produce. For example, if a graph has a range of -3 ≤ y < 1, it means y can take any value from -3 up to, but not including, 1.

Front

What is the domain of a graph?

Back

The domain of a graph is the set of all possible input values (x-values) that the function can accept. For example, if a graph has a domain of -7 ≤ x < 5, it means x can take any value from -7 up to, but not including, 5.

Front

Define the term 'Domain'.

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

Define the term 'Range'.

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

What is the proper domain for a function that only accepts non-negative inputs?

Back

The proper domain is x ≥ 0, meaning the function only accepts values of x that are zero or greater.

Front

What does the notation D: (-∞, ∞) represent?

Back

This notation indicates that the domain of the function includes all real numbers, from negative infinity to positive infinity.

Front

What does the notation R: [-5, ∞) represent?

Back

This notation indicates that the range of the function includes all real numbers starting from -5 and extending to positive infinity, including -5.

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, look at the x-values that the graph covers. Identify the smallest and largest x-values that the graph reaches.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, look at the y-values that the graph covers. Identify the smallest and largest y-values that the graph reaches.

Front

What is the significance of closed and open intervals in domain and range?

Back

Closed intervals [ ] include the endpoints, meaning those values are part of the set. Open intervals ( ) do not include the endpoints, meaning those values are not part of the set.