Graph y=1/4*sec(x)

Graph y=1/4*sec(x)
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 secant function, , for equal to to find where the vertical asymptote occurs for .
Set the inside of the secant 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. Vertical asymptotes occur every half period.
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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. This is half of the period.
There are only vertical asymptotes for secant and cosecant 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 seventy-four million four hundred four thousand nine hundred forty

Interesting facts

  • 74404940 has 16 divisors, whose sum is 200893392
  • The reverse of 74404940 is 04940447
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 32
  • Digital Root 5

Name

Name one billion four hundred forty-four million nine hundred eighty thousand five hundred twenty-one

Interesting facts

  • 1444980521 has 4 divisors, whose sum is 1446149892
  • The reverse of 1444980521 is 1250894441
  • Previous prime number is 1237

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2

Name

Name sixty million one hundred forty-five thousand four hundred sixty-nine

Interesting facts

  • 60145469 has 8 divisors, whose sum is 63550080
  • The reverse of 60145469 is 96454106
  • Previous prime number is 271

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 8
  • Sum of Digits 35
  • Digital Root 8