SOLUTION: Hello, I have a question regarding domain and range. When given a graph, how do you find the domain and range? Also, how do you set the domain and range into an inequality?

The domain of a function is the set of numbers (real numbers) where the function is determined.

Examples:

f(x) = c              (constant).            The domain is the entire number line.

f(x) = ax + b         (linear function).     The domain is the entire number line.

f(x) =     (quadratic function)   The domain is the entire number line.

f(x) =                                    The domain is the set of all non-negative numbers x > = 0.

f(x) =                                The domain is the set of all real numbers x such that x+5 >= 0, i.e. x >= -5.

f(x) =                        The domain is the set of all real numbers x such that ax^2 + bx + c >= .  
                                                So, in order to find the domain, you need to solve this inequality.

f(x) = .                               The domain is the set of all real numbers except of x = 2: You can not divide by zero. It is prohibited.

There are the lessons on determining domains of functions in this site:

    - Domain of a function which involves a quadratic polynomial under the square root operator,

    - Domain of a function containing high degree polynomial under the square root operator  and 

    - Domain of a function which is the square root of a rational function