document.write( "Question 84496: This is my problem.How do I graph this?
\n" ); document.write( "Graph f(x) = 4x + 1.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #60851 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
In order to graph $\"4x%2B1\"$ , we need to plot some points.
\n" ); document.write( " So we can start at any x value. So lets start at x=-5
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%28-5%29=4%28-5%29%2B1\"$ Plug in $\"x=-5\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%28-5%29=4%28-5%29%2B1=-19\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=-5\"$ $\"f%28x%29=-19\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 1st point is (-5,-19)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%28-4%29=4%28-4%29%2B1\"$ Plug in $\"x=-4\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%28-4%29=4%28-4%29%2B1=-15\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=-4\"$ $\"f%28x%29=-15\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 2nd point is (-4,-15)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%28-3%29=4%28-3%29%2B1\"$ Plug in $\"x=-3\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%28-3%29=4%28-3%29%2B1=-11\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=-3\"$ $\"f%28x%29=-11\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 3rd point is (-3,-11)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%28-2%29=4%28-2%29%2B1\"$ Plug in $\"x=-2\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%28-2%29=4%28-2%29%2B1=-7\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=-2\"$ $\"f%28x%29=-7\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 4th point is (-2,-7)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%28-1%29=4%28-1%29%2B1\"$ Plug in $\"x=-1\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%28-1%29=4%28-1%29%2B1=-3\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=-1\"$ $\"f%28x%29=-3\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 5th point is (-1,-3)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%280%29=4%280%29%2B1\"$ Plug in $\"x=0\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%280%29=4%280%29%2B1=1\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ $\"f%28x%29=1\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 6th point is (0,1)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%281%29=4%281%29%2B1\"$ Plug in $\"x=1\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%281%29=4%281%29%2B1=5\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ $\"f%28x%29=5\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 7th point is (1,5)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%282%29=4%282%29%2B1\"$ Plug in $\"x=2\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%282%29=4%282%29%2B1=9\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ $\"f%28x%29=9\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 8th point is (2,9)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%283%29=4%283%29%2B1\"$ Plug in $\"x=3\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%283%29=4%283%29%2B1=13\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=3\"$ $\"f%28x%29=13\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 9th point is (3,13)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%284%29=4%284%29%2B1\"$ Plug in $\"x=4\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%284%29=4%284%29%2B1=17\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=4\"$ $\"f%28x%29=17\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 10th point is (4,17)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=4x%2B1\"$ Start with the given equation
\n" ); document.write( "
\n" ); document.write( " $\"f%285%29=4%285%29%2B1\"$ Plug in $\"x=5\"$
\n" ); document.write( "
\n" ); document.write( " $\"f%285%29=4%285%29%2B1=21\"$ Calculate the f(x) value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=5\"$ $\"f%28x%29=21\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 11th point is (5,21)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now lets make a table of the values we have calculated\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " x y
 -5 -19
 -4 -15
 -3 -11
 -2 -7
 -1 -3
 0 1
 1 5
 2 9
 3 13
 4 17
 5 21\r\n" );
document.write( "

Now plot the points\r
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Now connect the points, this is the graph of $\"4x%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "

\n" );