Aerin H.

asked • 01/09/21

Sketch two periods of y = (1/4)tan((pi x)/4). (Select the correct graph.)

A. There are five items in the x y-plane. The first item is a dashed, vertical line at x=-2. The second item is a dashed, vertical line at x=2. The third item is a dashed, vertical line at x=6. The fourth item is a solid curve that enters the viewing window from the bottom, just to the right of x=-8. The curve has a steep positive slope that gets less steep as it goes through the points (-1,-0.25) and (0,0). After (0,0) the slope begins to get steeper as it goes through the point (1,0.25) and exits the top of the viewing window just left of x=2. The fifth item is a solid curve that enters the viewing window from the bottom, just to the right of x=2. The curve has a steep positive slope that gets less steep as it goes through the points (3,-0.25) and (4,0). After (4,0) the slope begins to get steeper as it goes through the point (5,0.25) and exits the top of the viewing window just left of x=6.





B.There are five items in the x y-plane. The first item is a dashed, vertical line at x=-1/8. The second item is a dashed, vertical line at x=1/8. The third item is a dashed, vertical line at x=3/8. The fourth item is a solid curve that enters the viewing window from the bottom, just to the right of x=-1/8. The curve has a steep positive slope that gets less steep as it goes through the points (-1/16,-0.25) and (0,0). After (0,0) the slope begins to get steeper as it goes through the point (1/16,0.25) and exits the top of the viewing window just left of x=1/8. The fifth item is a solid curve that enters the viewing window from the bottom, just to the right of x=1/8. The curve has a steep positive slope that gets less steep as it goes through the points (3/16,-0.25) and (1/4,0). After (1/4,0) the slope begins to get steeper as it goes through the point (5/16,0.25) and exits the top of the viewing window just left of x=3/8.    


C.There are five items in the x y-plane. The first item is a dashed, vertical line at x=-1/8. The second item is a dashed, vertical line at x=1/8. The third item is a dashed, vertical line at x=3/8. The fourth item is a solid curve that enters the viewing window from the bottom, just to the right of x=-1/8. The curve has a steep positive slope that gets less steep as it goes through the points (-1/16,-4) and (0,0). After (0,0) the slope begins to get steeper as it goes through the point (1/16,4) and exits the top of the viewing window just left of x=1/8. The fifth item is a solid curve that enters the viewing window from the bottom, just to the right of x=1/8. The curve has a steep positive slope that gets less steep as it goes through the points (3/16,-4) and (1/4,0). After (1/4,0) the slope begins to get steeper as it goes through the point (5/16,4) and exits the top of the viewing window just left of x=3/8.


D. There are five items in the x y-plane. The first item is a dashed, vertical line at x=-2. The second item is a dashed, vertical line at x=2. The third item is a dashed, vertical line at x=6. The fourth item is a solid curve that enters the viewing window from the bottom, just to the right of x=-8. The curve has a steep positive slope that gets less steep as it goes through the points (-1,-4) and (0,0). After (0,0) the slope begins to get steeper as it goes through the point (1,4) and exits the top of the viewing window just left of x=2. The fifth item is a solid curve that enters the viewing window from the bottom, just to the right of x=2. The curve has a steep positive slope that gets less steep as it goes through the points (3,-4) and (4,0). After (4,0) the slope begins to get steeper as it goes through the point (5,4) and exits the top of the viewing window just left of x=6.

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