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

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

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

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