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
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...
Related questions
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning