For a periodic function f, the period p is the ___________ positive number for whichf( ______ ) = f(x) for all x in the domain of f.

For a periodic function f, the period p is the _____ positive number for whichf( ) = f(x) for all x in the domain of f.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 80E

See similar textbooks

Related questions

Q: c. The graphs of trigonometric functions have no vertical asymptotes. d. If f has a vertical…

A: The vertical asymptotes are the vertical lines at the points where the denominator of a rational…

Q: 1. Given f(x) = -3 sin (4 a), (a) Identify the amplitude and period. (b) intervals. Graph the…

A: To Determine: identify the amplitude and period of the function. graph the function .divide one full…

Q: If a function f is periodic with period p, then f (t+p)=_________for every t. The trigonometric…

A: Given that f is a periodic function with period p, Then, If it is a periodic function then it has a…

Q: Sketch the graph of the function. (Include two full periods.) cos(x + ) y = -4 X X 37 X X. -27 2 2…

A: We have to sketch the graph of the given function, y=-4cos(x+π4) To graph this trigonometric…

Q: 6) Let h(x) = sec 3 x. Determine the period, and the equations of the asymptotes. Graph this…

A: Given: hx=12sec3x we know that period of seckx is 2πk similarly, periodT of hx will be T=2π3

Q: Question#4: A) Find all horizontal asymptote(s) of the following function if any: 16x4+x2 - 4 f(x) -…

A: In this question we will use basic of calculus i.e concept of horizontal asymptotes. We will use the…

Q: 1. Sketch the graph of each function in [0, 27n) by transforming its parent function. (a) y = cos(x)…

A: By using the online available graph plotter we will graph the each function in [0,2pi). As per…

Q: Sketch two periods of the graph of the function p(x)=tan(x-Pi/6). Identify the stretching factor,…

Q: TT y = -2 – cot (x 2

A: Given y=-2-cotx-π2

Q: Sketch two periods of the graph of the function h (x) = 2 sec ( (x + 3)) . Identify the stretching…

A: Given : hx=2secπ4x+3

Q: The graph of a periodic function f is shown below. f(4) 4 MA \1.57 3.14 4.71/ 6.28 -- -2 a. What is…

A: Ques 1 a ) period : the difference between the two peaks Period = 6.28 - 3.14 = 3.14 b ) Minimum…

Q: 2. Graph the following function. Show at least two periods and include the vertical asymptotes.…

A: to find period and vertical shift of the given function.

Q: 63. PROVE: Periodic Functions (a) Prove that if f is periodic with period p, then 1/f is also…

A: Given, f is periodic with period p now find the period of 1/f if f(x) is periodic of period p then…

Q: Find the period. 4 y = tan( 8x - ) Graph the function. A NAA AMA X X -87 -47 -N4 y X -87 -47 4л -1/4

A: Solve for the periodicity

Q: A funicular travels up and down its track transporting people between two platforms. The periodic…

A: From the given figure, it is observed that the period of the function is 70. That is, fx+70=fx for…

Q: What is the period of this function? Write a function formula for f. (Enter "theta" for θ.)…

Q: Which of the following IS NOT TRUE about f(t)=csct Select all FALSE statements. Group of answer…

A: Topic: properties of trigonometric function cosec t

Q: 3. Find the period and sketch graph of the function. Show all asymptotes or amplitude if applicable…

Q: Sketch two periods of the graph of the function p(x) A). Identify the stretching factor, = tan…

A: Given:

Q: 6. Find the period and sketch graph of the function. Show all asymptotes or amplitude if applicable…

A: Dear learner, As per our guidelines, we can provide the solution for first one only. Kindly post…

Q: The following table shows values of a periodic function f(). The maximum value attained by the…

Q: Find the amplitude of the periodic function. 8- 4- -4- -8- The amplitude is. (Type a whole number.)

A: Given: The graph of periodic function To determine: The amplitude of of the function.

Q: Which of the following functions are periodic? If the function is periodic, what is the period of…

Q: 1. Sketch the graph of the following functions, and find the domain and range. In #1, determine the…

Q: A weight is suspended from the ceiling by a spring. Let d be the distance in centimeters from the…

A: From the given graph , we observe that The weight starts closest to the ceiling and begins by…

Q: ind all values of x, if any, for which the graph of f(x) = – 5 + 2e* has a horizontal tangent 5 No…

Q: Sketch two periods of the graph of the function p(x) = tan(x-pi/8). Identify the stretching factor,…

Q: Let f be a periodic function with period 3. If f(a-1)=-1, f(a)=0, and f(a+1)=1, what is the value of…

A: It is given that, the function (f) has the period 3. And,

Q: 4. A periodic function, h, has a period of 8. If h (3) = -1 and h (12) = 17, determine the value of…

Q: 1. Let f(x) = - sin(2x) and g(x) = cos(x). %3D (a) Find the amplitude and period for f(x) and g(x)…

A: f(x)=-sin(2x)-1≤sin(x)≤1-1≤-sin(2x)≤1Amplitude of f(x) is 1.g(x)=cos(x)-1≤cos(x)≤1Amplitude of g(x)…

Q: Sketch two periods of the graph of the function p (x) = tan (x 5). Identify the stretching factor,…

A: We have to find the asymptotes for the function p(x)=tanx-π3 on the domain -P,P.

Q: Sketch two periods of the graph of the function h(x) = 3sec(pi/4 * (x + 1)) Identify the stretching…

A: Consider the given function as hx=3secπ4x+1. We know that a function of the form hx=AsecBx-C+D has…

Q: 3. What is the amplitude of the periodic function represented by the graph below? 02

A: To be found : Amplitude of given function.

Q: decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If…

Q: hich of the graphs below might represent periodic functions? You should list only those functions…

A: to make the list for periodic functions

Q: 1. The trigonometric function y = tan x has period and asymptotes x = Sketch a graph of this func-…

A: Given, y=tan x

Q: Sketch two periods of the graph of the function p (x)= tan (x – (x - ). Identify the period, and…

A: Given p(x)=tan(x-π8) The graph of the given function is…

Q: Graph the function over a two-period interval. y= -2- tan x ..... Choose the correct graph below. O…

Q: 5) Let g(x) = 3 tan (중). %3D Determine the period, and the equations of the asymptotes. Graph this…

Q: The graph of the function 6x2 + 3x +1 x-2 has horizontal asymptotes of the form y = L. Find the…

A: We have to find the smallest value of Horizontal asymptote of function.

Q: In the function f(x), x is replaced with 2x and 1 is added to the function. f(1) = -3 sinr What…

Q: Determine a3 of the periodic function as shown. Round-off to the nearest ten thousandths places.

Q: Determine if the following function is periodic. If it is periodic find the fundamental period, p.…

Q: The graph of a periodic function f is shown below. f(8) 2. 3. 4 6. -2 -3 -4 –5 a. What is the period…

A: (a) From the graph it is clear that the wave repeats itself for every two period say, it is one wave…

Q: Sketch two periods of the graph of the function p(x)=tan(x−π4). Identify the stretching factor,…

A: Given: p(x)=tanx-π4. General formula for trigonometric function. y=AtanBx+C+D. Stretching Factor: A…

Q: 10. Consider y = cot x on the interval [-2n, 2n]. List the equations of all asymptotes that exist…

A: y=cotx

Q: The lim- tan 3(a+h)-tan(3x) is h h→0 A B 3sec2(3x) sec2(2æ) D 3 cot(3x) E nonexistent

Q: Determine the amplitude and midline of the periodic functions below and decide whether their graphs…

Q: Let f(x) = -2 tan(3x) a. Find the period of f(x) b. Graph one cycle of f(x) on the axes below and…

A: (a) Given that Since it is known that period of tan is to . Hence -2tan 3x is, 0 to .

Question

For a periodic function f, the period p is the ___________ positive number for which
f( ______ ) = f(x) for all x in the domain of f.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Explanation

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Graphs$

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

In Exercises 14 and 15, use a graphing utility to graph the function. If the function is periodic, find its period. If not, describe the behavior of the function as x increases without bound. y=6xcos0.25x
DISCUSS: Periodic Functions I Recall that a function f is periodic if there is a positive number p such that ft+p=ft for every t, and the least such p if it exists is the period of f. The graph of a function of period p looks the same on each interval of length p, so we can easily determine the period from the graph. Determine whether the function whose graph is shown is periodic; if it is periodic, find the period.
Graph f(x) = -2 sin x, g(x) = sin 2x, h(x) = ( f + g)(x) in the same rectangular coordinate system for 0 ≤ x ≤ 2π. Obtain the graph of h by adding or subtracting the corresponding y-co-ordinates on the graphs of f and g.
Sketch two periods of the graph of the function h(x) = 3sec(pi/4 * (x + 1)) Identify the stretching factor, period, and asymptotes
decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If true, you can quote a relevant deﬁnition or theorem . If false,provide an example,illustration,or brief explanation of why the statement is false. Q) If m and n are positive integers and f is a periodic function with period m and g is a periodic function with period n, then f +g is a periodic function with period m+n.
Sketch two periods of the graph of the function p(x)=tan(x-Pi/6). Identify the stretching factor, period, and asymptotes
Let f be a periodic function with period 3. If f(a-1)=-1, f(a)=0, and f(a+1)=1, what is the value of f(a+2)? a. 3 b. 2 c. 1 d. 0 e. -1
If a function f is periodic with period p, then f (t+p)=_________for every t. The trigonometric functions y=sin x and y=cos x are periodic, with period _________ and amplitude __________ . Sketch a graph of each function on the interval [0,2pi].
Sketch two periods of the graph of the function h(x)=4sec(π/4(x+3)). Identify the asymptotes. Enter the asymptotes of the function on the domain [−P,P].
Sketch two periods of the graph of the function p(x)=tan(x−π4). Identify the stretching factor, period, and asymptotes. Asymptotes: x=
Sketch two periods of the graph of the function p(x) = tan(x-pi/8). Identify the stretching factor, period and asymptote. Stretching factor =_____period P = ______asymptote x=______
Determine the Amplitude and Midline of the periodic function and whether its graph is a vertical stretch and/or shift of the graph of y=sin t or y=cos t