document.write( "Question 471199: Using f(x) = (tan x) as a guide, graph the function. Identify the period, x-intercepts,and asymptotes.
\n" ); document.write( "solve : g(x)= tan (1/4)x \n" ); document.write( "
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Using f(x) = (tan x) as a guide, graph the function. Identify the period, x-intercepts,and asymptotes.
\n" ); document.write( "solve : g(x)= tan (1/4)x
\n" ); document.write( "**
\n" ); document.write( "Standard form for tangent function: y=A tan(Bx-C), period=π/B, phase-shift=C/B.
\n" ); document.write( "For given tangent function, g(x)=tan(x/4):
\n" ); document.write( "B=1/4
\n" ); document.write( "period:π/(1/4)=4π
\n" ); document.write( "(1/4) period=π
\n" ); document.write( "phase-shift: none
\n" ); document.write( "A=1
\n" ); document.write( "..
\n" ); document.write( "x-intercept
\n" ); document.write( "y=0
\n" ); document.write( "tan(x/4)=0
\n" ); document.write( "x/4=0
\n" ); document.write( "x=0
\n" ); document.write( "..
\n" ); document.write( "y-intercept
\n" ); document.write( "x=0
\n" ); document.write( "y=tan(0/4)
\n" ); document.write( "y=0
\n" ); document.write( "..
\n" ); document.write( "Graphing:
\n" ); document.write( "on the x-axis make tick marks at -2π, -π, 0, π, 2π (radian scale)
\n" ); document.write( "at these x-values, g(x)=-∞, -1, 0, 1, ∞
\n" ); document.write( "You now have the following points to plot the curve:
\n" ); document.write( "Asymptotes: x=-2π and x=2π and points (-π,1), (0, 0), (π,1) \n" ); document.write( "
\n" );