AnswersSS26 Math 3 S2 M3960OXGraphing Tangent and Cotangent

Graphing Tangent and Cotangent Answers

10 verified answers1 views
1
Free Preview

What function is graphed below?

Question illustration
A
y equal to cotangent (StartFraction 3 over 4 EndFraction (x minus StartFraction pi over 6 EndFraction ))
Option A
B
y equal to cotangent (StartFraction 3 over 2 EndFraction (x minus StartFraction pi over 6 EndFraction ))
Option B
C
y equal to cotangent (StartFraction 3 over 4 EndFraction (x plus StartFraction pi over 6 EndFraction ))
Option C
D
y equal to cotangent (StartFraction 3 over 2 EndFraction (x plus StartFraction pi over 6 EndFraction ))
Option D
2
Free Preview

What is the range of the function ?

Question illustration
A
all real numbers
B
all real numbers except , where n is any integer
Option B
C
all real numbers except , where n is any integer
Option C
D
all real numbers except , where n is any integer
Option D
3

The graph of the function was horizontally stretched so that its period became . Which is the equation of the transformed function?

Question illustration
A
y equal to tangent (StartFraction x over 10 EndFraction)
Option A
B
y equal to tangent (StartFraction x over 5 EndFraction)
Option B
C
y equal to tangent (5x)
Option C
D
y equal to tangent (10x)
Option D
4

What function is graphed below?

Question illustration
A
y equal to cotangent (x) minus 2
Option A
B
y equal to tangent (x) minus 2
Option B
C
y equal to cotangent (x) plus 2
Option C
D
y equal to tangent (x) plus 2
Option D
5

Which function is equivalent to ?

Question illustration
A
y equal to minus tangent (x)
B
y equal to minus tangent ( x plusStartFraction pi over2 EndFraction)
C
y equal to tangent (x)
D
y equal to tangent ( x plusStartFraction pi over2 EndFraction)
6

Which is an asymptote of the graph of the function ?

Question illustration
A
mc020-2.jpg
Option A
B
mc020-3.jpg
Option B
C
mc020-4.jpg
Option C
D
mc020-5.jpg
Option D
7

Which is the graph of the function ?

Question illustration
A
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi by 2 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi. The graph increases in every pi interval as x increases. The curve crosses the x axis at (2 pi comma 0), (pi comma 0) and (negative pi comma 0) and (negative 2 pi comma 0).
Option A
B
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi by 2 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi. The graph decreases in every pi interval as x decreases. The curve crosses the x axis at (2 pi comma 0), (pi comma 0) and (negative pi comma 0) and (negative 2 pi comma 0).
Option B
C
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi by 2 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 2. The graph decreases in every pi interval as x decreases.The curve crosses the x axis at (2 pi comma 0), (pi comma 0) and (negative pi comma 0) and (negative 2 pi comma 0).
Option C
D
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi by 2 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 2. The graph increases in every pi interval as x increases. The curve crosses the x axis at (2 pi comma 0), (pi comma 0) and (negative pi comma 0) and (negative 2 pi comma 0).
Option D
8

Which is an asymptote of the graph of the function ?

Question illustration
A
x equal to minus StartFraction 4pi over 3 EndFraction
Option A
B
x equal to minus StartFraction 2 pi over 3 EndFraction
Option B
C
x equal to StartFraction 3 pi over 4 EndFraction
Option C
D
x equal to StartFraction 3pi over 2 EndFraction
Option D
9

What function is graphed below?

Question illustration
A
y equal to cotangent (x minus StartFraction pi over 4 EndFraction)
Option A
B
y equal to tangent (x minus StartFraction pi over 4 EndFraction)
Option B
C
y equal to cotangent (x plus StartFraction pi over 4 EndFraction)
Option C
D
y equal to tangent (x plus StartFraction pi over 4 EndFraction)
Option D
10

Chris wanted to transform the graph of the parent function by horizontally compressing it so that it has a period of units, horizontally translating it units to the right, and vertically translating it 1 unit up. To do so, he graphed the function , as shown. What did he do wrong?

Question illustration
A
He graphed the function incorrectly because he didn’t translate the graph of the parent function 1 unit up.
Option A
B
He graphed the function incorrectly because the period of the transformed function is not units.
Option B
C
He graphed the function correctly, but it was not the right function to graph. He should have graphed .
Option C
D
He graphed the function correctly, but it was not the right function to graph. He should have graphed .
Option D

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Inverse Trigonometric Functions

Quiz
10 verified answers

Graphing Tangent and Cotangent

Quiz
10 verified answers

Graphing Tangent and Cotangent

Graphing Tangent and Cotangent Answers — SS26…