Draw the graph of f(x) = (x − 2) 2 − 1 (or f(x) = x 2 − 4x 3) and compare it to the basic graph g(x) = x 2 If we use the same method as in the previous example we can guess that the graph has moved two units to the right and one unit down Now we will check this by making a table of values, beginning with x = 0 and drawing the graphThe Function which squares a number and adds on a 3, can be written as f (x) = x2 5 The same notion may also be used to show how a function affects particular values Example f (4) = 4 2 5 =21, f (10) = (10) 2 5 = 105 or alternatively f x → x2 5 The phrase "y is a function of x" means that the value of y depends upon the value ofIf y=0 , then x 33x 2 =x 2 (x3)=0 so that x=0 and x=3 are the xintercepts There are no vertical or horizontal asymptotes since f is a polynomial See the adjoining detailed graph of f Click HERE to return to the list of problems SOLUTION 2 The domain of f is all xvalues Now determine a sign chart for the first derivative, f' f'(x
Solution Assume That F 2 3 Assume Also That The Graph Of Y F X Is Symmetric With Respect To The Line X 3 Find Another Value For The Function
