Your Practice Paper – Applications and Interpretation SL for IBDP Mathematics
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Exponential and Logarithmic Functions
x
� y� a : Exponential function , where a � 1
� y� log a x: Logarithmic function , where a � 0
� log log10 y � x � x : Common Logarithmic function
� y �ln x � log e x : Natural Logarithmic function , where e � 2.71828 ... is an exponential number
� Properties of the graphs of
y x
� : a a � 1 0�a
� 1
y increases as x increases
y -intercept � 1 y decreases as x increases
y tends to zero as x tends to y tends to zero as x tends to negative infinity positive infinity Horizontal asymptote : y � 0
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Systems of Equations
�ax �by �c
� � �dx �ey � f
: 2� 2 system
�ax � by � cz � d �
� �ex � fy � gz � h � �ix � jy � kz � l
: 3� 3 system
� The above systems can be solved by PlySmlt2 in TI-84 Plus CE
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