section 1.3 the eleven basic functions and their...
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The Identity Function The Squaring Function The Cubing Function
Function Rule_____________ Function Rule _____________ Function Rule _____________
Domain ______________ Domain ______________ Domain ______________
Range _______________ Range _______________ Range _______________
Continuous YES/NO Continuous YES/NO Continuous YES/NO
Increasing _____________ Increasing ________________ Increasing ________________
Decreasing _____________ Decreasing __________________ Decreasing __________________
Constant_______________ Constant ____________________ Constant ____________________
Bounded Above/Bounded Below/ Bounded Above/Bounded Below/ Bounded Above/Bounded Below/
Bounded/Unbounded Bounded/Unbounded Bounded/Unbounded
Upper Bound _____ Lower Bound______ Upper Bound _____ Lower Bound____ Upper Bound ___ Lower Bound____
Local Mins______________ Local Mins______________________ Local Mins___________________
Local Maxs______________ Local Maxs___________________ Local Maxs___________________
Absolute Min____________ Absolute Min___________________ Absolute Min_________________
Absolute Max ___________ Absolute Max___________________ Absolute Max_________________
Odd/Even/Neither Odd/Even/Neither Odd/Even/Neither
Vertical Asymptotes____________ Vertical Asymptotes____________ Vertical Asymptotes____________
Horizontal Asymptotes____________ Horizontal Asymptotes____________ Horizontal Asymptotes__________
Section 1.3 – The Eleven Basic Functions and Their Properties
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The Reciprocal Function The Square Root Function The Exponential Function
Function Rule_____________ Function Rule _____________ Function Rule _____________
Domain ______________ Domain ______________ Domain ______________
Range _______________ Range _______________ Range _______________
Continuous YES/NO Continuous YES/NO Continuous YES/NO
Increasing _____________ Increasing ________________ Increasing ________________
Decreasing _____________ Decreasing __________________ Decreasing __________________
Constant_______________ Constant ____________________ Constant ____________________
Bounded Above/Bounded Below/ Bounded Above/Bounded Below/ Bounded Above/Bounded Below/
Bounded/Unbounded Bounded/Unbounded Bounded/Unbounded
Upper Bound _____ Lower Bound______ Upper Bound _____ Lower Bound____ Upper Bound ___ Lower Bound____
Local Mins______________ Local Mins______________________ Local Mins___________________
Local Maxs______________ Local Maxs___________________ Local Maxs___________________
Absolute Min____________ Absolute Min___________________ Absolute Min_________________
Absolute Max ___________ Absolute Max___________________ Absolute Max_________________
Odd/Even/Neither Odd/Even/Neither Odd/Even/Neither
Vertical Asymptotes____________ Vertical Asymptotes____________ Vertical Asymptotes____________
Horizontal Asymptotes____________ Horizontal Asymptotes____________ Horizontal Asymptotes__________
Section 1.3 – The Eleven Basic Functions and Their Properties
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The Natural Logarithm Function The Sine Function The Cosine Function
Function Rule_____________ Function Rule _____________ Function Rule _____________
Domain ______________ Domain ______________ Domain ______________
Range _______________ Range _______________ Range _______________
Continuous YES/NO Continuous YES/NO Continuous YES/NO
Increasing _____________ Increasing ________________ Increasing ________________
Decreasing _____________ Decreasing __________________ Decreasing __________________
Constant_______________ Constant ____________________ Constant ____________________
Bounded Above/Bounded Below/ Bounded Above/Bounded Below/ Bounded Above/Bounded Below/
Bounded/Unbounded Bounded/Unbounded Bounded/Unbounded
Upper Bound _____ Lower Bound______ Upper Bound _____ Lower Bound____ Upper Bound ___ Lower Bound____
Local Mins______________ Local Mins______________________ Local Mins___________________
Local Maxs______________ Local Maxs___________________ Local Maxs___________________
Absolute Min____________ Absolute Min___________________ Absolute Min_________________
Absolute Max ___________ Absolute Max___________________ Absolute Max_________________
Odd/Even/Neither Odd/Even/Neither Odd/Even/Neither
Vertical Asymptotes____________ Vertical Asymptotes____________ Vertical Asymptotes____________
Horizontal Asymptotes____________ Horizontal Asymptotes____________ Horizontal Asymptotes__________
Section 1.3 – The Eleven Basic Functions and Their Properties
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The Absolute Value Function The Logistic Function
Function Rule_____________ Function Rule _____________
Domain ______________ Domain ______________
Range _______________ Range _______________
Continuous YES/NO Continuous YES/NO
Increasing _____________ Increasing ________________
Decreasing _____________ Decreasing __________________
Constant_______________ Constant ____________________
Bounded Above/Bounded Below/ Bounded Above/Bounded Below/
Bounded/Unbounded Bounded/Unbounded
Upper Bound _____ Lower Bound______ Upper Bound _____ Lower Bound____
Local Mins______________ Local Mins______________________
Local Maxs______________ Local Maxs___________________
Absolute Min____________ Absolute Min___________________
Absolute Max ___________ Absolute Max___________________
Odd/Even/Neither Odd/Even/Neither
Vertical Asymptotes____________ Vertical Asymptotes____________
Horizontal Asymptotes____________ Horizontal Asymptotes__________
Section 1.3 – The Eleven Basic Functions and Their Properties