Exam 4: Graphing and Inverse Functions

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Use addition of y -coordinates to sketch the graph of the function between Use addition of y -coordinates to sketch the graph of the function between    and   .   ​  and Use addition of y -coordinates to sketch the graph of the function between    and   .   ​ . Use addition of y -coordinates to sketch the graph of the function between    and   .   ​

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The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​

(Multiple Choice)
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The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​

(Multiple Choice)
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Use the graph of the equation Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​  shown below to identify the graph of one complete cycle of the equation Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ . Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​

(Multiple Choice)
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Evaluate without using a calculator. Evaluate without using a calculator.   ​

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Match each value of x below with the letter of the corresponding equation.
Premises:
Responses:
sin x = -1
sin x = 0
Correct Answer:
Verified
Premises:
Responses:
sin x = -1
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Identify the correct graph of the function: ​ Identify the correct graph of the function: ​   ​

(Multiple Choice)
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Use a calculator to evaluate the expression to the nearest tenth of a degree, if necessary. Use a calculator to evaluate the expression to the nearest tenth of a degree, if necessary.   ​  __________° ​ __________°

(Short Answer)
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Find the algebraic expression that is equal to cos (180° -  θ ). ​

(Multiple Choice)
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Sketch the graph from Sketch the graph from    to   .   ​  to Sketch the graph from    to   .   ​ . Sketch the graph from    to   .   ​

(Multiple Choice)
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Prove the identity. Prove the identity.

(Essay)
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Identify the graph of the function ​ y = 2cos  πx ​,  Identify the graph of the function ​ y = 2cos  πx ​,    ​

(Multiple Choice)
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Sketch the graph from Sketch the graph from    to   .   ​  to Sketch the graph from    to   .   ​ . Sketch the graph from    to   .   ​

(Multiple Choice)
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Identify the amplitude and phase shift for this equation. Identify the amplitude and phase shift for this equation.   ​

(Multiple Choice)
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The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​

(Multiple Choice)
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Evaluate without using a calculator. Evaluate without using a calculator.   ​

(Multiple Choice)
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