Use the Graph of the Function $f ( x ) = - 2 \cos ( x ) + \sin ( x )$

question 31

Multiple Choice

Use the graph of the function $f ( x ) = - 2 \cos ( x ) + \sin ( x )$ to approximate the maximum points of the graph in the interval $[ 0,2 \pi ]$ . Round your answer to one decimal.

• A) \(( 2.7,2.2 ) , ( 6.3 , - 1.8 )\)
• B) \(( - 1.8,6.3 ) , ( 2.7,2.2 )\)
• C) \(( 2.7 , - 1.8 ) , ( 6.3,2.2 )\)
• D) \(( - 1.8,6.3 ) , ( 2.2,2.7 )\)
• E) \(( 2.2,2.7 ) , ( 6.3 , - 1.8 )\)

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Definitions:

Logarithm

A mathematical operation that determines the power to which a base must be raised to produce a given number.

Graph

A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Logarithm

The exponent or power to which a base, typically 10 or e, must be raised to produce a given number; it is the inverse operation of exponentiation.

Graph

A visual diagram that exhibits the arrangement of connections or interrelations among several objects with the help of unique symbols including dots, lines, and bars.