## Graphing the Trigonometric FunctionTo graph the following trigonometric function:\[ y = \frac{1}{3} \sec \left(\frac{1}{3}x\right) \]Follow these steps:1. **Draw the Asymptotes:** Begin by drawing three consecutive asymptotes. Asymptotes are the vertical lines where the function is undefined (approaches infinity).2. **Plot Points:** After drawing the asymptotes, plot two points. Place one point on each side of the second asymptote.3. **Graph the Function:** Once your asymptotes and points are in place, click on the graph-a-function button to complete the graph.### Diagram Explanation:Below is a detailed explanation of the elements shown in the included graph interface:- **Coordinate Grid:** The grid shows the $ x $-axis and $ y $-axis with labeled units. - $ x $-axis: labeled with multiples of $\pi$ up to $ 9\pi $. - $ y $-axis: labeled with integers from -2 to 2. - **Function Graphing Tools:** Located next to the coordinate plane, these tools help you plot the graph. - **Buttons Include:** - A pencil for drawing. - Various line and point plotting tools. - A curve tool to assist in sketching the function. - Options to reset, undo, or get help.This visual and step-by-step approach ensures an accurate sketch of the trigonometric function, making it easy for learners to understand and follow.

Answered: Image /qna-images/answer/90000c5f-391b-4cf6-8ab6-438e30a42902.jpg

Graph the trigonometric function. y = sec Start by drawing three consecutive asymptotes. Then plot two points, one on each side of the second asymptote. Finally, click on the graph-a-function button. ---- 2 4 St 9

Graph the trigonometric function. y = sec Start by drawing three consecutive asymptotes. Then plot two points, one on each side of the second asymptote. Finally, click on the graph-a-function button. ---- 2 4 St 9

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Related questions

Q: Classity each tunction as increasing or decreasing. State the X-intercept, y-intercept, the domain,…

Q: On the axes below, make an appropriate scale and graph exactly one cycle of the trigonometric…

Q: Write the equations of the horizontal and vertical asymptotes?

A: we have given graph to find the vertical and horizontal asymptotes.

Q: Graph the trigonometric function. 1 sec 3x 2 y = Start by drawing three consecutive asymptotes. Then…

A: Answer

Q: Graph the function. y = sec x+ 70 To draw the graph, plot three consecutive asymptotes and two…

A: Given is the function .The objective is to draw its graph by plotting three consecutive asymptotes…

Q: Find a formula for the trigonometric function shown in the graph. 4000 2000 15 30 45 60

A: Given: The graph is

Q: metric function. Y = -1/2 sec (1/2) x. Start by drawing 3 consecutive asymptotes. Then plot two…

A: Given, y=-12sec12x

Q: Graph the trigonometric function. y=-2 sec 3x- Start by drawing three consecutive asymptotes.

A: Given a Trigonometric function : f(x) = -2 sec (3x - pi/2) We need to draw the graph of the…

Q: Find the vertical asymptotes for each function when they are graphed from −2? to 2?. a. ? = sec…

Q: 34. Graph the function: y = 2. hoizaeiqs erti vlilgme C a. b. С. d. npiae b. -1

Q: Graph one period the function. Label and draw the two aymptotes. Draw the three reference points…

Q: Which is the correct function for the graph below? Each vertical mark is 1 unit. TT TT 2TT

A: With help of elimination method we try to reject the option which are obvious that they are…

Question

## Graphing the Trigonometric Function

To graph the following trigonometric function:
\[ y = \frac{1}{3} \sec \left(\frac{1}{3}x\right) \]

Follow these steps:

1. **Draw the Asymptotes:**
Begin by drawing three consecutive asymptotes. Asymptotes are the vertical lines where the function is undefined (approaches infinity).

2. **Plot Points:**
After drawing the asymptotes, plot two points. Place one point on each side of the second asymptote.

3. **Graph the Function:**
Once your asymptotes and points are in place, click on the graph-a-function button to complete the graph.

### Diagram Explanation:

Below is a detailed explanation of the elements shown in the included graph interface:

- **Coordinate Grid:**
The grid shows the $ x $-axis and $ y $-axis with labeled units.
- $ x $-axis: labeled with multiples of $\pi$ up to $ 9\pi $.
- $ y $-axis: labeled with integers from -2 to 2.

- **Function Graphing Tools:**
Located next to the coordinate plane, these tools help you plot the graph.
- **Buttons Include:**
- A pencil for drawing.
- Various line and point plotting tools.
- A curve tool to assist in sketching the function.
- Options to reset, undo, or get help.

This visual and step-by-step approach ensures an accurate sketch of the trigonometric function, making it easy for learners to understand and follow.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Asymptote$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Similar questions

Graph the trigonometric function. 1 csc| 2x- 2 y=- 2 Start by drawing three consecutive asymptotes. Then plot two points, one on each side of the second asymptote.
Graph the following function. Show at least two cycles. Use the graph to determine the domain and range of the function. y 4 - 1 tan Choose the correct graph below. OC. OD. O A. Ay Ay Ay 1121 - 12t 112n - 12 12n B.
Graph the trigonometric function. 3. tan x+ y3D 4 Start by drawing two consecutive asymptotes. Between those asymptotes, plot three points: a point where the graph intersects the x-axis, a point to its left, and a point to its right. Finally, click on the graph-a-function button. 3 2- ? -3m -2x 2. -It 2. 2.
Graph the circle x+y = 1 with your graphing calculator. Use the feature on your calculator that allows you to evaluate a function from the graph to find the coordinates of all points on the circle that have the given x-coordinate. O(0.7071,0.7071), (– 0.7071,0.7071) O (0.7071,- 0.7071), (- 0.7071,-0.7071) O (0.7071,0.7071), (- 0.7071, -0.7071) (- 0.7071,-0.7071) O(-0.7071,0.7071), (- 0.7071, -0.7071)
Graph the function. Give the equations of the vertical and horizontal asymptotes. 5-x f(x) = X-1 ..... Give the equations of any vertical asymptotes for the graph of the rational function. Select the correct choice below and fill in any answer boxes within your choice. O A. x= (Simplify your answer. Use a comma to separate answers as needed.) B. There is no vertical asymptote. Give the equations of any horizontal asymptotes for the graph of the rational function. Select the correct choice below and fill in any answer boxes within your choice.
Graph the function. y - 3 sec (x + 5)-3 To draw the graph, plot three consecutive asymptotes and two points, one on each side of the second 15- X 1170 13 m 7TC ST 100 FISIOLLA 6 B -T Continue 10- 5- -5 RIO 6 B 41 हात H 2 8л 3 17T 6