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range sin65(x)
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Solution
−1≤f(x)≤1
+1
Interval Notation
[−1,1]
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Solution steps
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Function range definition
The set of values of the dependent variable for which a function is defined
Find the minimum and maximum value in each defined interval and unite the results
Domain of sin65(x):−∞<x<∞
Extreme Points of sin65(x):Minimum(2πn,0),Maximum(π2+2πn,1),Saddle(π+2πn,0),Minimum(3π2+2πn,−1)
Find the range for the interval −∞<x<∞:−1≤f(x)≤1
Combine the ranges of all domain intervals to obtain the function range
