Question 840316: Use y=2tan(3x) to answer the questions below.
1. what is the period of the function?
2. what is the phase shift of the function?
3. name a zero (x-intercept) of this function?
4. name equation of the any one vertical asymptote in this graph.
5. name the coordinate of the point on the graph that is halfway between the first zero and the first asymptote.
6. shaw a reasonably accurate graph of this function labeling all the key points (intercepts, asymptotes). Show 2 complete cycles.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Use y=2tan(3x) to answer the questions below.
Basic equation for tan function: y=A(Bx-C), A=coefficient, period=π/B, Phase shift=C/B
1. what is the period of the function?
Period:π/B=π/3
2. what is the phase shift of the function?
Phase shift: none
3. name a zero (x-intercept) of this function?
x-intercept: 1.0472
4. name equation of the any one vertical asymptote in this graph.
vertical asymptote: x=0.5236
5. name the coordinate of the point on the graph that is halfway between the first zero and the first asymptote.
coordinate:(0.2618,2)
6. show a reasonably accurate graph of this function labeling all the key points (intercepts, asymptotes). Show 2 complete cycles.
I don't have the means for drawing the graph, but here are the coordinates for 2 cycles.
(0,0),(0.2618,2),(0.5236,u.d),(0.7854,-2),(1.0472,0),(1.3090,2),(1.5708,u.d),(1.8326,-2),(2.0944,0)
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