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Let f and g be the functions given by f(x) = x^2 and g(x) = x|x|.

 

g. Compare and contrast and g. How are they alike? How are they different?

 

h. Is there a value of x, such that f(x) + g(x) = -100 ? If so, find x. If not, explain why no such value exists.

 

i. Is there a value of x such that f(x) + g(x) = 50 ? If so, find x. If not, explain why no such value exists.

GAMEMASTERX40  May 30, 2018
 #1
avatar+92890 
+4

g.  The functions will return the same value when  x ≥ 0

      When  x  < 0,  the graph of g(x) will be the graph of  f(x)  reflected across the x axis

 

h  No such value exists.......when x ≤ 0,   the first function will produce a positive value  and the second function will produce the negative of this value....thus......their sum wil  = 0

 

i   Note that  when  x = 5 ..... f(x)  =  (5)^2 =  25   and  g (x)  = 5 l 5 l  = 25

 

So  f(5)  + g(5)  = 25  + 25   = 50

 

 

cool cool cool

CPhill  May 30, 2018

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