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  
 
0
655
1
avatar

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 $g(x)?$

 Nov 6, 2014

Best Answer 

 #1
avatar+105683 
+5

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 $g(x)?$

 

g(0)=0-0=0

g(1)=0-1=-1

g(2)=1-2=-1

g(3)=3-3=0

g(4)=6-4=2

The only numbers in the range of g(x) are 0,-1 and 2

There are 3 distict numbers in the range of g(x)

 Nov 7, 2014
 #1
avatar+105683 
+5
Best Answer

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 $g(x)?$

 

g(0)=0-0=0

g(1)=0-1=-1

g(2)=1-2=-1

g(3)=3-3=0

g(4)=6-4=2

The only numbers in the range of g(x) are 0,-1 and 2

There are 3 distict numbers in the range of g(x)

Melody Nov 7, 2014

29 Online Users

avatar