# Graph y=2tan(x)

Graph y=2tan(x)
Find the asymptotes.
For any , vertical asymptotes occur at , where is an integer. Use the basic period for , , to find the vertical asymptotes for . Set the inside of the tangent function, , for equal to to find where the vertical asymptote occurs for .
Set the inside of the tangent function equal to .
The basic period for will occur at , where and are vertical asymptotes.
Find the period to find where the vertical asymptotes exist.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The vertical asymptotes for occur at , , and every , where is an integer.
There are only vertical asymptotes for tangent and cotangent functions.
Vertical Asymptotes: for any integer
No Horizontal Asymptotes
No Oblique Asymptotes
Vertical Asymptotes: for any integer
No Horizontal Asymptotes
No Oblique Asymptotes
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Since the graph of the function does not have a maximum or minimum value, there can be no value for the amplitude.
Amplitude: None
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
Find the phase shift using the formula .
The phase shift of the function can be calculated from .
Phase Shift:
Replace the values of and in the equation for phase shift.
Phase Shift:
Divide by .
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift:
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Vertical Asymptotes: for any integer
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift:
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### Name

Name seven hundred eighty million one hundred thirty-eight thousand fifty-eight

### Interesting facts

• 780138058 has 64 divisors, whose sum is 1506055680
• The reverse of 780138058 is 850831087
• Previous prime number is 53

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 40
• Digital Root 4

### Name

Name one billion four hundred fifty-two million sixty-one thousand five hundred thirty-four

### Interesting facts

• 1452061534 has 32 divisors, whose sum is 2722636800
• The reverse of 1452061534 is 4351602541
• Previous prime number is 389

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 31
• Digital Root 4

### Name

Name one billion six hundred fifty-three million six hundred sixty-six thousand one hundred sixty-six

### Interesting facts

• 1653666166 has 8 divisors, whose sum is 2482889760
• The reverse of 1653666166 is 6616663561
• Previous prime number is 1039

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 46
• Digital Root 1