For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline. f(x) = −cos (x + π/3) +1

For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline.

f(x) = −cos (x + π/3) +1

Expert Solution

Consider the following expression:

f(x) = -cos(x + π/3) + 1

Use maple to plot the graph as follow:

Consider the graph plotted of f(x) = -cos(x + π/3) + 1,

General equation,

y = Acos(kx – c) + d

Then, period = 2π/|k|.

Since, is the periodic function with a period of 2π.

Hence, the amplitude is 2 and the period is 2π,

Thus, the midline in the graph is y = 0.5.

Hence, the amplitude is 2 and the period is 2π,

Thus, the midline in the graph is y = 0.5.

Junaid answered 1 year ago

For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline. f(x) = πcos(3x + π)

For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline.f(x) = πcos(3x + π)

For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline.

For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. f(x) = 2tan(x − π/6)

For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes.f(x) = 2tan(x − π/6)

For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. f(x) = 1/4 sin x

For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes.f(x) = 1/4 sin x

For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. f(x) = 0.2cos(0.1x) + 0.3

For the following exercises, graph two full periods of each function and state the amplitude, period, and midline...y = 2sin(3x − 21) + 4

For the following exercises, graph two full periods of each function and state the amplitude, period, and midline. State the maximum and minimum y-values and their corresponding x-values on one period for x > 0. Round answers to two decimal places if necessary.y = 2sin(3x − 21) + 4

For the following exercises, determine the amplitude, period, and midline of the graph, and then find a formula for the function.

For the following exercises, determine the amplitude, period, and midline of the graph, and then find a formula for the function.Give in terms of a sine function.

For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes. f(x) = 3cot x

For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes.f(x) = 3cot x

For the following exercises, graph two full periods of each function and state the amplitude, .... y = 3sin(8(x + 4)) + 5

For the following exercises, graph two full periods of each function and state the amplitude, period, and midline. State the maximum and minimum y-values and their corresponding x-values on one period for x > 0. Round answers to two decimal places if necessary.y = 3sin(8(x + 4)) + 5

For the following exercises, determine whether or not the given function f is continuous everywhere....f(x) = sec(x) − 3.

For the following exercises, determine whether or not the given function f is continuous everywhere. If it is continuous everywhere it is defined, state for what range it is continuous. If it is discontinuous, state where it is discontinuous.f(x) = sec(x) − 3.

Question

For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline. f(x) = −cos (x + π/3) +1

Solutions

Expert Solution

Related Solutions

For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline. f(x) = πcos(3x + π)

For the following exercises, sketch the graph of each function for two full periods. Determine the amplitude, the period, and the equation for the midline.

For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. f(x) = 2tan(x − π/6)

For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. f(x) = 1/4 sin x

For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. f(x) = 0.2cos(0.1x) + 0.3

For the following exercises, graph two full periods of each function and state the amplitude, period, and midline...y = 2sin(3x − 21) + 4

For the following exercises, determine the amplitude, period, and midline of the graph, and then find a formula for the function.

For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes. f(x) = 3cot x

For the following exercises, graph two full periods of each function and state the amplitude, .... y = 3sin(8(x + 4)) + 5

For the following exercises, determine whether or not the given function f is continuous everywhere....f(x) = sec(x) − 3.