SOLUTION: The graph of the function is given
(a) Find g(-4), g(-2), g(0), g(2), and g(4).
(b) Find the domain and range of g.
Algebra ->
Functions
-> SOLUTION: The graph of the function is given
(a) Find g(-4), g(-2), g(0), g(2), and g(4).
(b) Find the domain and range of g.
Log On
You didn't provide the function, so all I can do is tell you to take the number in the parentheses and substitute it for in your function and then do the arithmetic. Remember is the function, is the value of the function at . Therefore is the value of the function when
The domain of a function is the set of allowable values. It could be all real numbers (as in the case of a polynomial function: ), all real numbers excluding values that would make a denominator be zero (such as: where and are polynomial functions, then the domain of would be all real numbers except those number(s) that would make ), is restricted to , is restricted to . This is not an all inclusive list by any means.
The range of a function is the set of possible outputs. A linear function (y = mx + b]) has all real numbers for a range. A parabola of the form has either a minimum or maximum value (depending on which way it opens) and that would be one endpoint of the range. has a range of all real numbers, while has a range identical to its domain.
