Question 84497
 In order to graph {{{-x-2}}}, we need to plot some points. 
 So we can start at any x value. So lets start at x=-5 
 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(-5)=-(-5)-2}}} Plug in {{{x=-5}}} 
 
{{{f(-5)=-(-5)-2=3}}} Calculate the f(x) value

So when {{{x=-5}}} {{{f(x)=3}}}

So our 1st point is (-5,3)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(-4)=-(-4)-2}}} Plug in {{{x=-4}}} 
 
{{{f(-4)=-(-4)-2=2}}} Calculate the f(x) value

So when {{{x=-4}}} {{{f(x)=2}}}

So our 2nd point is (-4,2)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(-3)=-(-3)-2}}} Plug in {{{x=-3}}} 
 
{{{f(-3)=-(-3)-2=1}}} Calculate the f(x) value

So when {{{x=-3}}} {{{f(x)=1}}}

So our 3rd point is (-3,1)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(-2)=-(-2)-2}}} Plug in {{{x=-2}}} 
 
{{{f(-2)=-(-2)-2=0}}} Calculate the f(x) value

So when {{{x=-2}}} {{{f(x)=0}}}

So our 4th point is (-2,0)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(-1)=-(-1)-2}}} Plug in {{{x=-1}}} 
 
{{{f(-1)=-(-1)-2=-1}}} Calculate the f(x) value

So when {{{x=-1}}} {{{f(x)=-1}}}

So our 5th point is (-1,-1)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(0)=-(0)-2}}} Plug in {{{x=0}}} 
 
{{{f(0)=-(0)-2=-2}}} Calculate the f(x) value

So when {{{x=0}}} {{{f(x)=-2}}}

So our 6th point is (0,-2)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(1)=-(1)-2}}} Plug in {{{x=1}}} 
 
{{{f(1)=-(1)-2=-3}}} Calculate the f(x) value

So when {{{x=1}}} {{{f(x)=-3}}}

So our 7th point is (1,-3)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(2)=-(2)-2}}} Plug in {{{x=2}}} 
 
{{{f(2)=-(2)-2=-4}}} Calculate the f(x) value

So when {{{x=2}}} {{{f(x)=-4}}}

So our 8th point is (2,-4)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(3)=-(3)-2}}} Plug in {{{x=3}}} 
 
{{{f(3)=-(3)-2=-5}}} Calculate the f(x) value

So when {{{x=3}}} {{{f(x)=-5}}}

So our 9th point is (3,-5)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(4)=-(4)-2}}} Plug in {{{x=4}}} 
 
{{{f(4)=-(4)-2=-6}}} Calculate the f(x) value

So when {{{x=4}}} {{{f(x)=-6}}}

So our 10th point is (4,-6)




 

{{{f(x)=-x-2}}} Start with the given equation 
 
{{{f(5)=-(5)-2}}} Plug in {{{x=5}}} 
 
{{{f(5)=-(5)-2=-7}}} Calculate the f(x) value

So when {{{x=5}}} {{{f(x)=-7}}}

So our 11th point is (5,-7)




 



Now lets make a table of the values we have calculated

<pre>
<TABLE width=500>

<TR><TD> x</TD><TD>y</TD></TR>

<TR><TD> -5</TD><TD>3</TD></TR> 
<TR><TD> -4</TD><TD>2</TD></TR> 
<TR><TD> -3</TD><TD>1</TD></TR> 
<TR><TD> -2</TD><TD>0</TD></TR> 
<TR><TD> -1</TD><TD>-1</TD></TR> 
<TR><TD> 0</TD><TD>-2</TD></TR> 
<TR><TD> 1</TD><TD>-3</TD></TR> 
<TR><TD> 2</TD><TD>-4</TD></TR> 
<TR><TD> 3</TD><TD>-5</TD></TR> 
<TR><TD> 4</TD><TD>-6</TD></TR> 
<TR><TD> 5</TD><TD>-7</TD></TR> 
</TABLE>
</pre>Now plot the points

{{{drawing( 900, 900, -10, 10, -10, 10,
  grid( 1 ),circle(-5,3,0.05), 
  circle(-5,3,0.08), 
circle(-4,2,0.05), 
  circle(-4,2,0.08), 
circle(-3,1,0.05), 
  circle(-3,1,0.08), 
circle(-2,0,0.05), 
  circle(-2,0,0.08), 
circle(-1,-1,0.05), 
  circle(-1,-1,0.08), 
circle(0,-2,0.05), 
  circle(0,-2,0.08), 
circle(1,-3,0.05), 
  circle(1,-3,0.08), 
circle(2,-4,0.05), 
  circle(2,-4,0.08), 
circle(3,-5,0.05), 
  circle(3,-5,0.08), 
circle(4,-6,0.05), 
  circle(4,-6,0.08), 
circle(5,-7,0.05), 
  circle(5,-7,0.08) 
)}}}

Now connect the points, this is the graph of {{{-x-2}}}

{{{drawing( 900, 900, -10, 10, -10, 10,
  grid( 1 ),
  graph( 900, 900,-10, 10, -10, 10, -x-2),circle(-5,3,0.05), 
  circle(-5,3,0.08), 
circle(-4,2,0.05), 
  circle(-4,2,0.08), 
circle(-3,1,0.05), 
  circle(-3,1,0.08), 
circle(-2,0,0.05), 
  circle(-2,0,0.08), 
circle(-1,-1,0.05), 
  circle(-1,-1,0.08), 
circle(0,-2,0.05), 
  circle(0,-2,0.08), 
circle(1,-3,0.05), 
  circle(1,-3,0.08), 
circle(2,-4,0.05), 
  circle(2,-4,0.08), 
circle(3,-5,0.05), 
  circle(3,-5,0.08), 
circle(4,-6,0.05), 
  circle(4,-6,0.08), 
circle(5,-7,0.05), 
  circle(5,-7,0.08) 
)}}}