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Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The range is [1, 11].The midline is 6.

User Polash
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2.2k points

1 Answer

20 votes
20 votes

The given function is,


y=-5\cos ((\pi)/(2)(x-3))+6

The graph can be drawn as,

The period will be distance between two consequetive maximas,


\text{Period}=1-(-3)=4

Thus, period is correct.

The amplitude can be determined as,


\begin{gathered} Amplitude=(\max -\min )/(2) \\ =(11-1)/(2) \\ =5 \end{gathered}

Thus, amplitue is incorrect.

The range is,


y\in\lbrack1,11\rbrack

Thus, the range is correct.

The midline is,


\begin{gathered} \text{midline}=(\max +\min )/(2) \\ =(1+11)/(2) \\ =6 \end{gathered}

Thus, the midline is correct.

Thus, option (b) is the solution.

Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The-example-1
User Don Srinath
by
2.7k points