Graph each function using radians. Be sure to graph your asymptotes and name period, domain, and range. 1. y=tan(40) 2. y = tan (0-7)
Graph each function using radians. Be sure to graph your asymptotes and name period, domain, and range. 1. y=tan(40) 2. y = tan (0-7)
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°.
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How do I solve for all these problems and show work
![**Graph Each Function Using Radians**
Instructions: Be sure to graph your asymptotes and name the period, domain, and range for each function.
1. **\( y = \tan(4\theta) \)**
- [Graph not shown; plot tan function with horizontal stretch]
2. **\( y = \tan \left( \theta - \frac{\pi}{4} \right) \)**
- [Graph not shown; plot tan function with horizontal shift]
3. **\( y = 2\tan(\theta) \)**
- [Graph not shown; plot tan function with vertical stretch]
4. **\( y = -2\tan \left( \theta - \frac{\pi}{4} \right) \)**
- [Graph not shown; plot tan function with vertical stretch and reflection, shift]
5. **\( y = \frac{1}{4} \tan(\theta) + 1 \)**
- [Graph not shown; plot tan function with vertical compression and upward shift]
6. **\( y = -\tan(3\theta) - 1 \)**
- [Graph not shown; plot tan function with vertical reflection, horizontal compression, and downward shift]
For each graph:
- **Asymptotes**: Draw asymptotes for undefined points of the tangent function.
- **Period**: Specify the horizontal length for one complete cycle of the function.
- **Domain**: Describe the set of all possible input values (angles) for the function.
- **Range**: Determine the set of all possible output values for the function.
Please use graphing tools to visualize each function according to its transformations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e036daf-3930-4d1e-92d7-aa35e6eb95b3%2F467e82df-1b46-43a3-a9be-7be831dee06b%2F78rdpv9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Graph Each Function Using Radians**
Instructions: Be sure to graph your asymptotes and name the period, domain, and range for each function.
1. **\( y = \tan(4\theta) \)**
- [Graph not shown; plot tan function with horizontal stretch]
2. **\( y = \tan \left( \theta - \frac{\pi}{4} \right) \)**
- [Graph not shown; plot tan function with horizontal shift]
3. **\( y = 2\tan(\theta) \)**
- [Graph not shown; plot tan function with vertical stretch]
4. **\( y = -2\tan \left( \theta - \frac{\pi}{4} \right) \)**
- [Graph not shown; plot tan function with vertical stretch and reflection, shift]
5. **\( y = \frac{1}{4} \tan(\theta) + 1 \)**
- [Graph not shown; plot tan function with vertical compression and upward shift]
6. **\( y = -\tan(3\theta) - 1 \)**
- [Graph not shown; plot tan function with vertical reflection, horizontal compression, and downward shift]
For each graph:
- **Asymptotes**: Draw asymptotes for undefined points of the tangent function.
- **Period**: Specify the horizontal length for one complete cycle of the function.
- **Domain**: Describe the set of all possible input values (angles) for the function.
- **Range**: Determine the set of all possible output values for the function.
Please use graphing tools to visualize each function according to its transformations.
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