5. Make a sketch of the following parent function and give the following information. f(x) = sin x 4 -2m -5T/3 -2n/3 2m13 -1 -2 -3

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A:

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A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

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A: Given: a. f(x)=2x3-x-6x b. f(x)=5x2+3x c. f(x)=x6-x-3/2

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A: Kindly ask only one question.

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A: We will find the solution in the following step

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A: Consider the provided graph,

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Q: 12. V5z-8 f(z) = 13. f(x)=sin(3x² +x)

A: We can answer both the question as below using chain rule.

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Q: 4. plot the below function in the range 0 to 3x in steps of z/20. sin(x) sin(x)20 y(x)=. sin( x)s0

A: we are allow to solve one question at a time thank you

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A: 1)

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A: Consider the function  y=sin11x

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Q: The following is the graph of a function of the form f(x) = a sin(bx): 1 -0.667 t -0.333 t 0.167 n…

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Q: 6. Give the slope of the line that passes through the points P and Q on the graph of f(x) = = COSx…

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A: To graph y=2sin(2x/3)

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Q: 2л 5T Find the new function if y = 5 cos x+: is moved - units to the right and -units downward. 3 4

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Q: 4) Differentiate the function, and simplify the result. w(x) = sin /2r + 1

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A:

Q: Q5: a) Use a table of values to graph of the following function: f(x) = y = 2 + sin x

A: In the question it is asked to tabulate the function and draw graph for it. Bartleby's Guidelines:…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: