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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

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 #1
avatar+118608 
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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

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 #1
avatar+118608 
+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

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