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.Com
Question 201182This question is from textbook algebra and trigonometry
: 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.
This question is from textbook algebra and trigonometry
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
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:  = a_0x^n + a_1x^{n-1} +\ \cdots\ + a_{n-1}x + a_n)
), all real numbers excluding values that would make a denominator be zero (such as:  = \frac{g(x)}{h(x)} )
where and )
are polynomial functions, then the domain of 
would be all real numbers except those number(s) that would make  = 0)
), 
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.
John
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