Graph 3sec(1/7x)

Graph 3sec(1/7x)
Find the asymptotes.
Tap for more steps...
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 .
Solve for .
Tap for more steps...
Multiply both sides of the equation by .
Simplify both sides of the equation.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Simplify .
Tap for more steps...
Multiply .
Tap for more steps...
Multiply by .
Combine and .
Move the negative in front of the fraction.
Set the inside of the secant function equal to .
Solve for .
Tap for more steps...
Multiply both sides of the equation by .
Simplify both sides of the equation.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Multiply .
Tap for more steps...
Combine and .
Multiply by .
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.
Tap for more steps...
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
The vertical asymptotes for occur at , , and every , where is an integer. This is half of the period.
Secant only has vertical asymptotes.
No Horizontal Asymptotes
No Oblique Asymptotes
Vertical Asymptotes: where is an integer
No Horizontal Asymptotes
No Oblique Asymptotes
Vertical Asymptotes: where is an integer
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 .
Tap for more steps...
The period of the function can be calculated using .
Replace with in the formula for period.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Find the phase shift using the formula .
Tap for more steps...
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:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Multiply 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: where is an integer
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift:
Do you know how to Graph 3sec(1/7x)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name twenty-nine million eight hundred seventy-seven thousand six hundred fifty-four

Interesting facts

  • 29877654 has 8 divisors, whose sum is 59755320
  • The reverse of 29877654 is 45677892
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 48
  • Digital Root 3

Name

Name three hundred ninety-four million seventy-eight thousand five hundred fifty-three

Interesting facts

  • 394078553 has 4 divisors, whose sum is 429903888
  • The reverse of 394078553 is 355870493
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 44
  • Digital Root 8

Name

Name three hundred forty million one hundred ninety-one thousand ninety-three

Interesting facts

  • 340191093 has 32 divisors, whose sum is 505032192
  • The reverse of 340191093 is 390191043
  • Previous prime number is 67

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 30
  • Digital Root 3