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| PAGE: 227 | SET: Exercises | PROBLEM: 5 |
The trigonometric function is 
.
The factor of 4 will have all of the y - coordinates of 
and cause an x - axis reflection.
There is a coefficient of 1 in the argument.
The period of the tangent function is 
.
One cycle :
.
The period is 
, and divide the period by 4, then resuilt is 
, so mark the x-axis in increments of 
starting at 
.
0, 
, 
, 
, and 
.
1) Draw a coordinate plane.
2) The basic cycle of a tangent graph begins with a vertical asymptote has an x - intercept in the middle, and ends with another vertical asymptote.
3) Sketch a frame to help plot the key points and draw the asymptotes.
4) The difference is that the upper and lower sides of the frame do not indicate maximum and minimum values of the graph but are only used to define the position of two key points.
5) The graph of the trigonometric function 
is :
The graph of the trigonometric function is :
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