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A. Graph the following functions a identify the t values = 0, minimum and maximum points and describe where the function is rising and falling. 1. F(t) = sin t D: ( - 3n, 3n ) 2. G(t) = cost D: (- 2n , 4n ) 3. P(t) - tant D: (-2n , 2n)

A. Graph the following functions a identify the t values = 0, minimum and maximum points and describe where the function is rising and falling. 1. F(t) = sin t D: ( - 3n, 3n ) 2. G(t) = cost D: (- 2n , 4n ) 3. P(t) - tant D: (-2n , 2n)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Pre-Calculus Project – Graphs of Trigonometric Functions Name Date submitted Rubric: This project will be graded according to the (a) correctness of your graph and answers. (b) neatness of your work. Use graphing papers to correctly draw your graph. Use one graph paper for each problem. File all answer sheets in a manila folder. A. Graph the following functions a identify the t values = 0, minimum and maximum points and describe where the function is rising and falling. D: (- Зп, Зл ) D: (- 2n , 4л ) D: (-2n , 2n ) 1. F(t) = sin t 2. G(t) = cos t 3. P(t) = tan t B. Graph the reciprocal functions. Graph the parent function. Use different colors for each graph and label. Identify the minimum and maximum points of the reciprocal function. 4. F(t) = csct (- 3n , 3n) 5. S(t) = sect (-4n , 2n) 6. R(t) = cot t (- 2n , 2 n) 7. Transformation of Trigonometric Function. Graph the transformation and the graph of the parent function. Identify the minimum and maximum points. A(t) = 2 sin t - 4 8. B(t) = - cos t+ 6 9. C(t) = 3 tan t-1 10. D(t) = .5 sin (t-n) 11. F(t) = - 3 cos ( 2 t - n/2) 12. G(t) = 2 sin (t + n/4) +1 C. Given the functions, identify the amplitude, period, phase shift and the vertical shift. Show your work if needed. Write the function in words. 13. H(t) = - 3 Cos ( 3t - n) + 10 14. S(t) = % Sin (t/2 + n/4) – 5 15. Q(t) = 5 tan (t - n/2) D. Given the amplitude, period, phase shift and vertical shift respectively, write the cosine function/rule in symbols. Also write the function in words. 16. 5, 2n/3, n, 7 17. |- 3/, 4n, - 2n, - 3 Project Deadline
Transcribed Image Text:Pre-Calculus Project – Graphs of Trigonometric Functions Name Date submitted Rubric: This project will be graded according to the (a) correctness of your graph and answers. (b) neatness of your work. Use graphing papers to correctly draw your graph. Use one graph paper for each problem. File all answer sheets in a manila folder. A. Graph the following functions a identify the t values = 0, minimum and maximum points and describe where the function is rising and falling. D: (- Зп, Зл ) D: (- 2n , 4л ) D: (-2n , 2n ) 1. F(t) = sin t 2. G(t) = cos t 3. P(t) = tan t B. Graph the reciprocal functions. Graph the parent function. Use different colors for each graph and label. Identify the minimum and maximum points of the reciprocal function. 4. F(t) = csct (- 3n , 3n) 5. S(t) = sect (-4n , 2n) 6. R(t) = cot t (- 2n , 2 n) 7. Transformation of Trigonometric Function. Graph the transformation and the graph of the parent function. Identify the minimum and maximum points. A(t) = 2 sin t - 4 8. B(t) = - cos t+ 6 9. C(t) = 3 tan t-1 10. D(t) = .5 sin (t-n) 11. F(t) = - 3 cos ( 2 t - n/2) 12. G(t) = 2 sin (t + n/4) +1 C. Given the functions, identify the amplitude, period, phase shift and the vertical shift. Show your work if needed. Write the function in words. 13. H(t) = - 3 Cos ( 3t - n) + 10 14. S(t) = % Sin (t/2 + n/4) – 5 15. Q(t) = 5 tan (t - n/2) D. Given the amplitude, period, phase shift and vertical shift respectively, write the cosine function/rule in symbols. Also write the function in words. 16. 5, 2n/3, n, 7 17. |- 3/, 4n, - 2n, - 3 Project Deadline
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