# Graph y=1/4*sec(x)

Graph y=1/4*sec(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 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.
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 .
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 two hundred eleven million three hundred one thousand nine hundred ninety-five

### Interesting facts

• 211301995 has 16 divisors, whose sum is 256773888
• The reverse of 211301995 is 599103112
• Previous prime number is 487

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 31
• Digital Root 4

### Name

Name one billion nine hundred ninety-five million ninety-five thousand one hundred seventeen

### Interesting facts

• 1995095117 has 16 divisors, whose sum is 2098621440
• The reverse of 1995095117 is 7115905991
• Previous prime number is 113

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 47
• Digital Root 2

### Name

Name one billion eighty-seven million five hundred twenty-nine thousand three hundred sixty-eight

### Interesting facts

• 1087529368 has 16 divisors, whose sum is 3670411644
• The reverse of 1087529368 is 8639257801
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 49
• Digital Root 4