+0  
 
0
238
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 $g(x)?$

Guest Nov 6, 2014

Best Answer 

 #1
avatar+91051 
+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)

Melody  Nov 7, 2014
Sort: 

1+0 Answers

 #1
avatar+91051 
+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

9 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details