Question 471199: Using f(x) = (tan x) as a guide, graph the function. Identify the period, x-intercepts,and asymptotes.
solve : g(x)= tan (1/4)x
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Using f(x) = (tan x) as a guide, graph the function. Identify the period, x-intercepts,and asymptotes.
solve : g(x)= tan (1/4)x
**
Standard form for tangent function: y=A tan(Bx-C), period=π/B, phase-shift=C/B.
For given tangent function, g(x)=tan(x/4):
B=1/4
period:π/(1/4)=4π
(1/4) period=π
phase-shift: none
A=1
..
x-intercept
y=0
tan(x/4)=0
x/4=0
x=0
..
y-intercept
x=0
y=tan(0/4)
y=0
..
Graphing:
on the x-axis make tick marks at -2π, -π, 0, π, 2π (radian scale)
at these x-values, g(x)=-∞, -1, 0, 1, ∞
You now have the following points to plot the curve:
Asymptotes: x=-2π and x=2π and points (-π,1), (0, 0), (π,1)
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