exponential functions worksheet pdf

exponential functions worksheet pdf

Write an exponential decay function to represent this situation. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. 0000003746 00000 n 0000001198 00000 n Linear and quadratic parent functions are unique. 7. the graph of (x) = 2x, reflected across the x axis. However, there are two types of parent functions for exponential - growth and decay. 0000001621 00000 n 5. 0000002980 00000 n 0000003201 00000 n 31 0 obj <> endobj 8. 0000006135 00000 n They appear whenever you are multiplying by the same number over and over and over again. Round your answer to the nearest dollar. Exponential functions are perhaps the most important class of functions in mathematics. 0000002938 00000 n Hannah started her clothing line with 55 stores in the year 2012 with an annual growth rate of 2.5%. 0000005113 00000 n A. 0000001407 00000 n H���yTSw�oɞ����c [���5la�QIBH�ADED���2�mtFOE�.�c��}���0��8�׎�8G�Ng�����9�w���߽��� �'����0 �֠�J��b� ���d����`q�� i? @�0���s����x/v�_�"9?f�A~|f�[b��>� ������Y�=!� Exponential growth function the growth factor, b, is always . The growth rate function can be represented as f(x) = 55(1.025) x, where x is the number of years. 0000003443 00000 n �ꇆ��n���Q�t�}MA�0�al������S�x ��k�&�^���>�0|>_�'��,�G! endstream endobj 45 0 obj<> endobj 46 0 obj<> endobj 47 0 obj<> endobj 48 0 obj<>stream �zA.�2a�勓����]�̏���n�x�~awE�g}₲��0GZ���؏v�1�(�,��~H�|�t� c�I��1���7��$�x���^4r 2y�.-;!���K�Z� ���^�i�"L��0���-�� @8(��r�;q��7�L��y��&�Q��q�4�j���|�9�� n�3ܣ�k�Gݯz=��[=��=�B�0FX'�+������t���G�,�}���/���Hh8�m�W�2p[����AiA��N�#8$X�?�A�KHI�{!7�. xref 0000000896 00000 n y = ab x . Write an exponential decay function to represent this situation. p. arent %PDF-1.4 %���� 0000016470 00000 n 0000002904 00000 n "F$H:R��!z��F�Qd?r9�\A&�G���rQ��h������E��]�a�4z�Bg�����E#H �*B=��0H�I��p�p�0MxJ$�D1��D, V���ĭ����KĻ�Y�dE�"E��I2���E�B�G��t�4MzN�����r!YK� ���?%_&�#���(��0J:EAi��Q�(�()ӔWT6U@���P+���!�~��m���D�e�Դ�!��h�Ӧh/��']B/����ҏӿ�?a0n�hF!��X���8����܌k�c&5S�����6�l��Ia�2c�K�M�A�!�E�#��ƒ�d�V��(�k��e���l ����}�}�C�q�9 The graph of f(x)=ã , translated up 5 units. What will be the profits in 8 years? 0000025567 00000 n }gђ^ ���ĵ���h �B �I-�D 9. B. �%�S� a_U�JzW}f�]��1���!K#1�պ����O'���(�B6/�{��r�K�y@X`��� YBخ �i �$�j���x�9�����#���u0��\���M��{~� �O��Bf��|w����\sJI�$ל"��]w��1��>��Ye��wL�ja5X�D�����t«S�U4z "4BU G���:�?�e0_��o�R*�A9���U^)?��2Q6\�PmC��mS1�2��-� 4�me ��w�G� xR^���[�oƜch�g�`>b���$���*~� �:����E���b��~���,m,�-��ݖ,�Y��¬�*�6X�[ݱF�=�3�뭷Y��~dó ���t���i�z�f�6�~`{�v���.�Ng����#{�}�}��������j������c1X6���fm���;'_9 �r�:�8�q�:��˜�O:ϸ8������u��Jq���nv=���M����m����R 4 � We use this type of function to calculate interest on investments, growth and decline rates of populations, forensics investigations, as well as in many other applications. H��Wmo�6��_q�'w���,��:�hRX�n��/��Ȕ�M5J������;R/~o� �y���s/Wo���j���j�`@a�yIb���-(� gR2�E����|��>~K��[2Xl�ɍ�%܊6�խz��I���^�R5 >��FT�\6�|��8 � }-�x�� �Z­^�L�΄����f��T�צ֍l�i�t�)s��#��$��"Fߡ����|�[�ȟ���c6(�����׏��d�*Q�ͺJ-�D�8�F����"�1i��l6�FB-M.��\B��TYk�b� -DӀ��N� <<33BC6608FE9BFD49BEEBDCCE0BEA6D84>]>> Worksheet 3 Graphing exponential functions g(x) =- Hour Identify each transformation from the parent function of Tell if the function is a decay or growth function. Exponential functions and logarithm functions are important in both theory and practice. B. %%EOF 0 6. î g(x) = +5 - +2 Write the function for each graph described below. *m��Ìr��֘�6Whr[����jHE���J4�J#�!�P��J�Lae���]��2-T%������A��ֵ�b1M!�FV ������F4��Ea?�j�u]���@��؇�6F�������� A�

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