We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
-1
144
1
avatar+1038 

Suppose the function f(x) is defined explicitly by the table \(\begin{array}{c || c | c | c | c | c} x & 0 & 1 & 2 & 3 & 4 \\ \hline f(x) & 0 & 0 & 1 & 3 & 6 \end{array}\) This function is defined only for the values of x listed in the table. Suppose g(x) is defined as f(x)-x for all numbers x in the domain of f. How many distinct numbers are in the range of g(x)?

 Jul 21, 2018
 #1
avatar+99351 
+1

OK....

 

The integers in the domain of f(x)  are  0, 1, 2, 3, 4

 

So

g(0)  = f(0)  -  0    =  0  - 0  =  0 

g(1)   = f(1)  - 1  =  0 - 1  = -1

g(2)  = f(2)  - 2  = 1 - 2  = -1

g(3)  = f(3)  - 3  =  3 - 3  = 0

g(4)  = f(4)  - 4  =  6 - 4  = 2

 

So...the distinct numbers in the range of  g(x)  are  { -1, 0, 2 }  ⇒ i.e., three values

 

 

cool cool cool

 Jul 21, 2018

16 Online Users

avatar