document.write( "Question 456332: Graph the function y=tan(1/4)x in the interval from -2pi to 2pi. \n" ); document.write( "
Algebra.Com's Answer #313340 by lwsshak3(11628)\"\" \"About 
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Graph the function y=tan(1/4)x in the interval from -2pi to 2pi.
\n" ); document.write( "..
\n" ); document.write( "Standard form for tangent function: y=tan(Bx-C), with period=π/B, phase-shift=C/B
\n" ); document.write( "For given function:
\n" ); document.write( "y=tan(x/4-0)
\n" ); document.write( "B=1/4
\n" ); document.write( "period=π/(1/4)=4π
\n" ); document.write( "1/4 period=π
\n" ); document.write( "Graphing the function
\n" ); document.write( "on the x-axis make tick marks at -2π, -π, 0, π, 2π (tick marks spaced 1/4 period apart)\r
\n" ); document.write( "\n" ); document.write( "x=-2π
\n" ); document.write( "y=tan(Bx)=tan(-2π/4)=tan(-π/2)=undefined (asymptote)
\n" ); document.write( "x=-π
\n" ); document.write( "y=tan(-π/4)=-1
\n" ); document.write( "x=0
\n" ); document.write( "y=tan(0)=0
\n" ); document.write( "x=π
\n" ); document.write( "y=tan(π/4)=1
\n" ); document.write( "x=2π
\n" ); document.write( "y=tan(2π/4)=tan(π/2)=undefined (asymptote)\r
\n" ); document.write( "\n" ); document.write( "You now have the following points to graph the given tan function:\r
\n" ); document.write( "\n" ); document.write( "(-2π, asymptote), (-π,-1), (0,0), (π,1), (2π, asymptote) \n" ); document.write( "
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