Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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1) y = tan
x 2) y = cot x
3) y = -tan x 4)
y = -cot x
A)
B)
C)
D)
a. | 1B, 2D, 3C,
4A | c. | 1A, 2B, 3C,
4D | b. | 1A, 2D, 3C,
4B | d. | 1C, 2A, 3B,
4D |
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2.
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1) y = - tan  2) y = tan 
3) y = - cot  4) y = cot 
A)
B)
C)
D)
a. | 1C, 2B, 3D,
4A | c. | 1A, 2D, 3B,
4C | b. | 1D, 2A, 3C,
4B | d. | 1A, 2B, 3C,
4D |
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3.
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Graph the
function.
y =  tan 2x
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4.
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Graph the
function.
y =  tan x
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5.
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Graph the
function.
y =  cot x
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6.
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Graph the
function.
y =  tan 
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7.
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Graph the
function.
y =  tan 
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8.
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Graph the
function.
y =  cot 
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9.
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Graph the
function.
y =  cot 
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10.
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Graph the
function.
y = -  cot 
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11.
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Graph the
function.
y = -2 + cot
x
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12.
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Graph the
function.
y = -2 - tan
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13.
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The function graphed is of
the form y = a tan bx or y = a cot bx, where b > 0. Determine the equation of the
graph.
a. | y = - 4 tan
x | c. | y = - 4 cot
x | b. | y = -cot
4x | d. | y = -tan
4x |
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14.
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The function graphed is of
the form y = a tan bx or y = a cot bx, where b > 0. Determine the equation of the
graph.
a. | y = -tan
4x | c. | y = - 4 tan
x | b. | y = -cot
4x | d. | y = - 4 cot
x |
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15.
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The function graphed is of
the form y = a tan bx or y = a cot bx, where b > 0. Determine the equation of the
graph.
a. | y = 2 cot
x | c. | y = tan
2x | b. | y = -cot
2x | d. | y = 2
tanx |
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16.
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The function graphed is of
the form y = a tan bx or y = a cot bx, where b > 0. Determine the equation of the
graph.
a. | y = -4 cot
x | c. | y = -4 tan
4x | b. | y = -4 cot
4x | d. | y = 4 cot
4x |
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17.
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The minimum length L of a
highway sag curve can be computed by
L =  ,
where  is the downhill grade in degrees ( < 0°),  is the uphill grade in degrees ( > 0°), S is the safe stopping distance for a given speed limit, h is the height
of the headlights, and á is the alignment of the headlights in
degrees. Compute L for a 55-mph speed limit, where     and  Round your
answer to the nearest foot.
a. | 846 ft | c. | 893 ft | b. | 824 ft | d. | 869 ft |
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