��w�G� xR^���[�oƜch�g�`>b���$���*~� �:����E���b��~���,m,�-��ݖ,�Y��¬�*�6X�[ݱF�=�3�뭷Y��~dó ���t���i�z�f�6�~`{�v���.�Ng����#{�}�}��������j������c1X6���fm���;'_9 �r�:�8�q�:��˜�O:ϸ8������u��Jq���nv=���M����m����R 4 � x3�=�:��4ꬶl���Nǧ�Fc�d��PQ�G�aD��(��*��+�yw���� �zA.�2a�勓����]�̏���n�x�~awE�g}₲��0GZ���؏v�1�(�,��~H�|�t� c�I��1���7��$�x���^4r 31 0 obj <> endobj o y wAMldl k urMihg jhYt Xse FrqensPeur tvze hd 9.K G BM2a jd Yed Iw Gi Yteh D xI Knhfai Dnoi nt4em IA ElAg4eBbarea 2 l1 2.v Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Exponential Functions Date_____ Period____ <<33BC6608FE9BFD49BEEBDCCE0BEA6D84>]>> x�b```�����ce`a�8����^F��� �ɱH�� �ꇆ��n���Q�t�}MA�0�al������S�x ��k�&�^���>�0|>_�'��,�G! 0000003443 00000 n 2y�.-;!���K�Z� ���^�i�"L��0���-�� @8(��r�;q��7�L��y��&�Q��q�4�j���|�9�� 0000000896 00000 n )�An�KYs��)�O�8I+�{S���gK�g%������#[}Y��*'�PƢ8�B+���=�����i���` ph�� 0000025135 00000 n The most common example is in population growth. 0000005698 00000 n 0000002232 00000 n 3��q�4�P��n����Slx����`����QB�#V�`$={��;�� ��/�%+��=jc˕ �$p2��NcՌ��I�H@�+%�)��3fS�,�C�����S���2E��C'*�Zz�H`%x5�瀃=\�-|�EK [��*�R��Wu�z���8)�(��~��'�~Gacɜ�1R�h�w;Xg5a.͓Sh�.�����h�>=8�`���4���w�����CktH�:�F^��v�!7���-�ZaS���A��n�r�0`�*�f|PȬ����RB�������ҽ�w���[�Jr��;w\�]l�Z���� Ut;�{TY��n:�I�h�����`�����o��ip.�(-XY4״R�vx��_? endstream endobj 45 0 obj<> endobj 46 0 obj<> endobj 47 0 obj<> endobj 48 0 obj<>stream Exponential Graphs . 0000002980 00000 n Write an exponential decay function to represent this situation. 60 0 obj<>stream �V��)g�B�0�i�W��8#�8wթ��8_�٥ʨQ����Q�j@�&�A)/��g�>'K�� �t�;\�� ӥ$պF�ZUn����(4T�%)뫔�0C&�����Z��i���8��bx��E���B�;�����P���ӓ̹�A�om?�W= The graph of f(x)=ã , translated up 5 units. 0000002390 00000 n @�0���s����x/v�_�"9?f�A~|f�[b��>� ������Y�=!� 0 We use this type of function to calculate interest on investments, growth and decline rates of populations, forensics investigations, as well as in many other applications. 0000002904 00000 n 0000016405 00000 n 0000001621 00000 n b> 1 (Ex: _____)Exponential decay the decay factor, b, is always 0~K��[2Xl�ɍ�%܊6�խz��I���^�R5 >��FT�\6�|��8 � }-�x�� �Z­^�L�΄����f��T�צ֍l�i�t�)s��#��$��"Fߡ����|�[�ȟ���c6(�����׏��d�*Q�ͺJ-�D�8�F����"�1i��l6�FB-M.��\B��TYk�b� -DӀ��N� trailer Hannah started her clothing line with 55 stores in the year 2012 with an annual growth rate of 2.5%. y = ab x . In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. startxref In this unit we look at the graphs of exponential and logarithm functions, and see how they are related. B. %%EOF 9. 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. 0000008804 00000 n 0000016217 00000 n 0000025567 00000 n 14.You bought $2000 worth of stocks in 2012. 0000005568 00000 n 8. 0000005996 00000 n 2. In real-life situations we use x as time and try to find out how things change exponentially over time. �x������- �����[��� 0����}��y)7ta�����>j���T�7���@���tܛ�`q�2��ʀ��&���6�Z�L�Ą?�_��yxg)˔z���çL�U���*�u�Sk�Se�O4?׸�c����.� � �� R� ߁��-��2�5������ ��S�>ӣV����d�`r��n~��Y�&�+`��;�A4�� ���A9� =�-�t��l�`;��~p���� �Gp| ��[`L��`� "A�YA�+��Cb(��R�,� *�T�2B-� 0000003201 00000 n Write an exponential decay function to represent this situation. 0000001198 00000 n endstream endobj 49 0 obj<> endobj 50 0 obj<>stream What will your stock be worth in 2017? 0000006135 00000 n Exponential functions are perhaps the most important class of functions in mathematics. To estimate the number of stores in the year 2025, i.e, for a period of 13 years, we have to plug in the number of years in x and evaluate. Round your answer to the nearest dollar. n�3ܣ�k�Gݯz=��[=��=�B�0FX'�+������t���G�,�}���/���Hh8�m�W�2p[����AiA��N�#8$X�?�A�KHI�{!7�. "4BU G���:�?�e0_��o�R*�A9���U^)?��2Q6\�PmC��mS1�2��-� 4�me ���d����`q�� i? A. p. arent B. 6. î g(x) = +5 - +2 Write the function for each graph described below. 0000000016 00000 n 0000001278 00000 n Exponential functions and logarithm functions are important in both theory and practice. 0000018545 00000 n Ε�z���������� Exponential functions are closely related to geometric sequences. 0000002938 00000 n If a population of a group increases by say 5% every year, then every year the total population is multiplied by 105%. 0000003746 00000 n H�T�Mo� ��� N�� r�!�~��N;���~����=��%�oL� �-�2����Lڲz�IG���9���! 0000015988 00000 n 5. They appear whenever you are multiplying by the same number over and over and over again. 31 30 endstream endobj 32 0 obj<> endobj 33 0 obj<> endobj 34 0 obj<>/ColorSpace<>/Font<>/ProcSet[/PDF/Text/ImageC/ImageI]/ExtGState<>>> endobj 35 0 obj<> endobj 36 0 obj<> endobj 37 0 obj<> endobj 38 0 obj[/ICCBased 50 0 R] endobj 39 0 obj[/Indexed 38 0 R 4 54 0 R] endobj 40 0 obj<> endobj 41 0 obj<> endobj 42 0 obj<> endobj 43 0 obj<> endobj 44 0 obj<>stream Linear and quadratic parent functions are unique. However, there are two types of parent functions for exponential - growth and decay. A. 2���;~����/�#�E9\r�=��j%�! 7. the graph of (x) = 2x, reflected across the x axis. 0000005113 00000 n JL��? H���yTSw�oɞ����c [���5la�QIBH�ADED���2�mtFOE�.�c��}���0��8�׎�8G�Ng�����9�w���߽��� �'����0 �֠�J��b� N'��)�].�u�J�r� %PDF-1.4 %���� *m��Ìr��֘�6Whr[����jHE���J4�J#�!�P��J�Lae���]��2-T%������A��ֵ�b1M!�FV ������F4��Ea?�j�u]���@��؇�6F�������� A� Evaluating Exponential Functions Worksheets. 3. 0000003670 00000 n Jt4 lQ���@Z��"J�L?tY��| �g���`��,�����5��_����s�2�~a(`nP`~ s�Ì2��@l �r˵A�� ��6D "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 0000025374 00000 n }gђ^ ���ĵ���h �B �I-�D �%�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 0000001407 00000 n 0000016470 00000 n Exponential growth function the growth factor, b, is always . The value of the stocks has been decreasing by 10% each year. What will be the profits in 8 years? The growth rate function can be represented as f(x) = 55(1.025) x, where x is the number of years. Exponential Growth and Decay Worksheet In the function: y = a(b)x, a is the y-intercept and b is the base that determines the direction of the graph and the steepness. ©L 62J0 81v2u gK HumtGaT HSFoSfIt ew Za QrJe w PL YLICJ. xref

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