Graph y=tan(x)+2

Graph y=tan(x)+2
Find the asymptotes.
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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.
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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 .
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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 .
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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 one billion one hundred fourteen million five hundred twenty-eight thousand four hundred forty-seven

Interesting facts

  • 1114528447 has 4 divisors, whose sum is 1114868776
  • The reverse of 1114528447 is 7448254111
  • Previous prime number is 3307

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1

Name

Name five hundred five million eight hundred three thousand six hundred eleven

Interesting facts

  • 505803611 has 4 divisors, whose sum is 506381232
  • The reverse of 505803611 is 116308505
  • Previous prime number is 877

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 29
  • Digital Root 2

Name

Name six hundred forty-six million one hundred thirty-four thousand eight hundred sixty-one

Interesting facts

  • 646134861 has 16 divisors, whose sum is 925043328
  • The reverse of 646134861 is 168431646
  • Previous prime number is 71

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3