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].

Q: 1. Find the amplitude, period, and phase shift of the function y = 2 sin (;x – -). Then graph the…

A: Answer is mentioned below

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: Determine the amplitude and period of the function. Then graph one period of the function.

A: The given function is y=-12cosπ3x

Q: TT y = -2 – cot (x 2

A: Given y=-2-cotx-π2

Q: Design a sine function with the given properties.  It has a period of 24 with a minimum value of 10…

A: It is given that the function has period of 24 hrs with minimum value of 10 at t=3 and a maximum…

Q: 1. The periodic function, T ), gives the temperature in degrees Celsius of the water in a pool, t in…

A: So, temperature oscillates from 18°C to 30°C,  Between morning 3 to afternoon 3     So, let t…

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

A: period

Q: 4. What is the period of the function graphed below? 3n/2 2m -2

A: We can find the answer as below

Q: A formula to find the period, T, of a cyclic phenomena based on the frequency, f, is T = . Solve the…

A: Given that A formula to find the period T of a cyclic phenomena based on the frequency is T=1/f.

Q: Graph the function over a two-period interval. y= -1+ cot x ..... Choose the correct graph below. O…

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Q: Thhe graph shown below is one period of a function of the form  y = a sin(k(x − b)). Determine the…

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Q: Let f(x) = 2 cos(7x – n) – 1. 1. Give the amplitude, period, phase shift, and vertical shift of f.…

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Q: 1- let f (x) = 2 sin (2x - –) -1 a) find amplitude and period b) sketch the graph 2- by using graph…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Determine the period and all vertical asymptotes for the function.  y=cot(3x+pi)+2

A: Given:

Q: b. y = 5 sin (2.r – 7 ) +1 c. y = 4csc(zx) Find the period and sketch graph 6. of the function. Show…

A: We have to find the period and sketch the graph of the given functions. Also, find all the…

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

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

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Q: Part D

A: According to the given information, it is required to calculate the period, phase shift and…

Q: Which graph represents the periodic function f(x)=3sin⁡(1/2x)? (options in image)

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Q: Find the amplitude, period, and phase shift of the function. Sketch the graph of one period of the…

A: We have to use properties of cosine equation to solve the problem

Q: Which of the following statements is NOT true about the graph of the sine function? O The function…

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Q: 1. For the graph shown, state the period P and find a possible formula for the function.

A: First assume general equation for this graph.

Q: Let f (x) = - tan - a. Find the period of f . b. Find the three key points; that is, find the…

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Q: Consider the function f(θ)=4sin(2θ)+2f(θ)=4sin(2θ)+2. What is the amplitude of f?     What is the…

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

A: Given that the function hx=3secπ4x+1. It is known that the function of the form hx=AsecBx-C+D has…

Q: A certain sine function has an amplitude of 3, a period of t, a phase shift ofT/2, and a vertical…

A: Given:Amplitude=3Period=πPhase shift=π2Vertical displacement=-1To find:we have to find…

Q: Determine (f), where f(t) is periodic with the given period. Also graph f(t). ()= 2t, 0<t<2, and…

A: Solve the following

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…

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Q: Q1: A sketch of the graphs of two sinusoidal periodic functions ?(?) & ?(?) are shown below. The…

A: Given: Let us consider the given two sinusoidal periodic functions fx and gx

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: A function f defined on –4<x<4 is given by the graph to the left. Use the graph to answer each of…

A: Given that the graph. A function is defined on -4&lt;x&lt;4. To determine whether f'(a) exist or…

Q: Which of the following statements is NOT true about the graph of the sine function? The function is…

A: Given query is to find the  statement which is not correct about sine function.

Q: 10. Find the amplitude, period, and phase-shift of the function. Use this information to graph the…

A:

Q: Question 3 Consider the periodic function g(x) = -2cos(x+ )+1. 3.1 What is the range of g? 3.2 What…

A: Let's find.

Q: Find a trigonometric function ƒ that satisfies each set of properties. Answers are not unique. a. It…

A: For y=AcosBx+C+D      ...(1)  or y=AsinBx+C+D        ...(2) Amplitude = A , And 2A is difference…

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: The trigonometric function y = tan(x) has period and the following asymptotes. O x = + n7T (n is an…

A: The given function is: y=tanx To find the period of the given function.

Q: Determine (f), where f(t) is periodic with the given period. Also graph f(t). 4t, 0<t<3, f(t) =…

A: If f(t) is the periodic function with period p, that is f(t+p)=f(t) then Laplace transformation of…

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

A:

Q: 3) Sketch the graph:        y = 2 cos (3x + π)   Draw a grid and label points on both the x axis…

A: Solution is in step 2

Q: 2. Find the amplitude, period, and horizontal shift of the periodic function f(x) = 4 sin (2-).…

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Q: Find the period and sketch the graph of the equation. Show the asymptotes.

A: Given: y=cotx-π2

Q: Find the period and sketch the graph of the equation. Show the asymptotes.

A: Given equation is : y=cot 12x Period is the distance between two curves of given function. If y  =…

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: The graph of the parent function is given. Sketch the function in the soace provided. Each tick mark…

A: Consider the provided question, (12) The graph of y=cos(x) is given as,

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

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

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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 .