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20 Mar 2020
Let
, where f is the function whose graph is shown.
At what values of x do the local maximum and minimum values of g occur?
Where does g attain its absolute maximum value?
On what interval is g concave downward?
Sketch the graph of g.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAb0AAAEgCAMAAAAXCF3rAAAABGdBTUEAALGPC/xhBQAAAAFzUkdCAK7OHOkAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAB7UExURf///8Tk+k+58JPP9Pb7/jWz79jy/SMfIACt7uj1/YbH8GS+8bnf+a3a93XE8qHV9s/p+//+7iUfOf720meu4fnfr15aZcqJSCVAlFcqKos9Ju/Bhjh1tigtbaFkSZiXod+oa7+Sebu3tFuWyzofI83Oy36Bgevr67nT69sPXfkAABEtSURBVHja7F2Jduo4DIVszgKBEEILYafb/3/hhKUtjyWRbVmJp9I5s7x5rxnwjaV7JVnu9djY2NjY2NjY2NjY2NjYfs3jJbAYvA2vgS2W72aTuNfbHv92tnfxyctiy07Lyrel1ysWy+//8iH2vCz27L7Fql9tvunll59CzHhRrLHs6DWz3eDyy70Q7DotsmJ+8IrDN9OcVegxb7HJdb4Gu9EPZ6lszotij+t8We1/tt7miJ5451WxJ/CJ1XfU8+Yn9D54VayxcjL9FXvzvdgwb7EJvdfgR+x9fPZE733Gks8az/lDWaq9V/0lKgfKgc+arTf999eCl8QWtbDe7KYeo2epUl+sbsFj9Kw2Ro/RY2P02Bg9Ro+N0WNj9NgYPUaPjdFjY/TYGD27LN/vvxg9Oy3bvgkhlhGjZ6OVy69esZhMGT0b3ebm2NFSiiWjZ6PjPLnMkveexRC+cNyz13vuViPmnLaSzrkQ30cvxZXx0thhxVq8jnnvWes71xOX0bPWtoyezeithoze/0QyMHq2EJbF61cvK5cBKwYr+UqlDWZxxHrvf2OMnopFQRAxenZakIaVOUOP0bPOPDd0BkHQT0MnYvRsAy8JR+dNF/h+n9GzDbz+1b+PGT2bzA0HV1A6fsTo2WOD0P2He/qJx+hZoxRu0eqHI0bPFkvDW08ZhwGjZ4eN73datRsZPTvM8e+j3DDsM3o2WP8RUJ7jMHpWbD0HjCmjZ8XWewoqo2fD1mt18zF6uluv57VHOxk9qCVPHeSwNc3H6AEtCIfPfiv6N33G6HXP3NBT+j1GrwPm1e2v4LrwwOh1zwZhpEBHGb2OyIVaXjkMI0avuxbV+8aopUIRo6fNWY6WOoxed82Pm6T8mNHrqo2bwPEIJF+232x42o6Cxb7+n9C1YiF42g662Pt2nYazZfn6EOS7OU/8kDZAVPNMs87ydO/eVrwGjB6246z+jGHWeb5ttpgzeviO87g/KQR7Meezs/iOs1HPY/lPjnsmHGevlxDUaLOXb8fJ03bAUh2k5YYEZaJyZsukK28QO6ET91s/4ziG9a1E5ttb8nVsh1r3RmGYuEPXCf1Byx8FWnv1Tadb8t1tvq6j6I390D2TqyAN43a3nxMDUTacbsnuwOsoeqMwia4CSqvHrMBk0rBmuIB3npHbZfTc0PX+WZY24QNXXr3nfUsY4G0ns6PNp53Ze8VmM34I3u1bHbf3GeFKIElNgvd2lgerflfQK2f7xev43m269/9p2NZnlEhgjshby9pEr5gf8sUy6AE2WhK2dUBcongwJi/Rtohe9jJ5wLEfHwWP/LaOesgwSfLulhbRyxerezbnJY/HMAza8p2+RMhNk7+D3k214zt2PMlYpO34TqkMypA68LWFXrabzUTFgQ//ft/gKbuM2uGdUp2aAXXga2/vZVuxvHtVH50M/9ERbZzUkWv1ow58LaL3Ig73b/rzvEbkp/QfUrLhgTrwtYje+t9KY69pfEYbx+QkRQB14GsPvXxxJxjqnaPXwuaTFODUga9N9FbD2+/uNrzZ5JtPNvlFHPjaQ6+Yr/pyosAjp52RrMpMkj+D3o3cCxpbt1xqzSfdY0uc6mwPvfLtRjCkvte4FYgPiLuhNMsJ/gh6N5QzAHip2KfldI4sT/JoE3rtobe9IS0pABniA+IKPZpO+v9HL9vFt5dwBiCvSHtAXKHXQdrXWohe8bbM164U4TzbgDSuKPQZ9UmJVTvo5evVLFYhJB4pb3HkFUpE6tu70pUEFQOUg22UkPDdv4eeFwKjPSVvUfKCpPMHOoIePAnm0GUzlNprSUe3dAQ9OJcc0K2Oo5KYI01UdwM9iQGldINt1AgIqV7vBnqpRA6FLLAoDhJI0j+GntR+Ihtsoyi8KfV6J9CTqh2QST7FpJdRvV58dQ49yaK5+cE2F4cwVPw5Y5qmuG0m6QJ6kkPViRrOlYs9pnxDVm4WHUQvldxMNOmMkWr8MtVY5h3PDnQOPWkN4JK4TmXuODRGW7qI3kg2zJO4TvXRVebq611ET57bUbhO9VckMqbXO4jeWH5SBoXr1Gis9eO/g55CrwqF69TgHsYGzl2h15FZSSrim0Kwa/wvjPXDd2/vKWUTzQv2QGPykbEyQ/fQSxwlyE2XiXQKUcbKDJ1DT42gGZ9Eq7e7TbUFdg49xVK08TKRFm805dg7h55io4PpCrteqtlQd0Sxm4vVpt8d9FTHIppuvNMb8W6Ittwz2ZbRUz5zY7jjXLPEStUd0TJ6yuHF8FErzfYGqu6IdtEbK6uqwOgkWl3OT1MFaRs9jW9pNFOtG7io2hbbRU8DAqPpFt1cV0B0BXur6Olkm42mW7TlJFHTaavo6ewfo+kWbbdMRFtsKy9cLZC5Aw36apKoqbNN9PScn8HjHvqkg4i2tImeXhXTIDPQJ/wRDW1pET3dyGWsAQEjkUNDW1pET5c1GtMMGPW5NP2fo6fb/mFMM2C09I3CNtALyM42alN+Y513GH0pfZLhFtfoBa4TVpYMSA72628dU5oBo5WdZnbEL3pRGobxMOgPk9AfEuCn3zdnqs6A0rFGck7tB72xH35jFsWhY3zfI5xgNtTWicP2SYYcix8/5lw5ssAxXl/E0LNm3m8cpT0M6dC7vWbLS03v/AShr8hMbxJOcY5k1uMZvQfXx7hm4UMZ/WAmH4XTdBFRdEec0POcB9fHmIUPZeGNEDusXlo/JkLv8fUxRuFLnK6uEJbLix0a9J5dH+Oa0yxIM3NM9I9gnSGhGHl1RC99fO1Wz0uMnbRCilgmMhpYVIhi5JU4LsEzR+/5vqH3B8dxGqEGaO1OBGUGUXtzU2Tovl60YWP4yTI8JkTQHSGqKD2s83BGXiA0qo+fLMOrXBCUGUTDhLfYiPdOsPgYfrIMryOFoMwgGkJHFfo8mXcB03ECngYvM0ELmTB/J0Df0niZQTRNeAtkLv8BLhHQcUKeBmaIwI8G1Oqgpz2bzvqJh14jxRpJOCfgEgG5BuRpYFUF/GhAng962rPWjY/ZO1K0Fo3O2XPgvhO2RFCXIkCr3UdFD6jVhY6L+ZwLsXlHQc8BLFCMix6UcYKeBpVnQPSAnlhovaX745SV2Ubbg0YC4OZHYPIEWyKoSNNyT4roAV8G2NOepmE/zmNy7jyoYLPIPjT9J+glGkMTUgLTcWq6J6Xd0sd06k/t87zz9tquE/YxUswvBc5uwT4b8NYE2MOgWl0PvZkQ8w2GboCyxBTtaXARC1xwH/Fh0NykFnp7bY8pTaTRZBC87gV1dgHawzzUEPEUPTS5Dk1BOI6H9DT4fB2oX8DLjoBrci1etrzf7APZjzHGqqThn41CHN0ypL2yWcHKVZxtVyPZlyhFKtTi13QQKzGk168p7bz54Tiu7LUviR7WbdkOeiMRYpXId7sNXr4+bbuf67KFxCuOUa4ycOIVb/4A6bWj+ZfK1nsNfv8hg57kfTNPBRV+ZEFrj6C88jd7mSpEPfEandBb9WXJ0wBj25jwTWihlPD6rosPlER8K07XnOeLyw/LUF+YaqCKUQo8H0urI1DHuRDiIL9fv9GbuNLoBfqqwcxZcyRCRXltZTFfKmwFHfQaGpiy/Wbz1bQ+MuvsFRtYHIIR/ex9M8RxDHnzN23cfBOVff7rOQfy6NWqhmJxTJwvIzxaUCxeYTQXknwr1qumFYdq9XIWe8ViqcNwspeVCr0t31Q55zmsR8/D8CHId/NJLZOS6gSsvDwQveb8TbZ9WzY+C3jc9aSYq4WcaqCXQ1/M2x87kc0ftyuHXvRcNZQH77S16z6VXOP6djaHfsWms0QVeIfmfQV069vTG1qtoF7ORIUBZtuTw/1JlUmmW5/far8b9K739BNqL+Ftitk7+AVtIkMXj6O7g68fVk50kkZbxZ/O15ULyddTTwk9z3eaqFQNQDLj+/O1C3cvDeX6iqOl2g+5+mRiGejFvSrs9fdKqat8N/uowm5PCb0myV7WxT2ZKdTZ9uDB0WtIcZVi8jEXk2UfR81U/Gz1u4JqYW+1wcj3Sheqars7s5e69XYlmuqL6kESob02913Rn9U+yndv9TwPnj8vqldhqoNettb7eWX0aiV7ORvhiL18PZQiZrU5rmx9SmtUHq+OKsApVUWv129iSZcTxUOvTrLn67jW6YI9fbabytHq2vaI7HJN+fac41V5xC1zyMoGbdRV9J5L9nxX63scuNjLF98dj0BRW1sl+r58qZ55gou8Z6UHorHdQ++pZM/qwQskimfZ/mi7+WoDZWa1VaJSnNRt+Vbn7cAp6jPbvwhn69B7Itkv4OWb4BnocnHak0pI1FWJssuDtnXODl7jLcXJra/t3HuPJXu2ncyONp8+Wx1piiyDXn2GuZwfomO8iupcwxhMWl7Hx0fGPSvR8x5EsGz7dglUfW3OooJeQ5qrWFci9xDVvpJg13BUzB8fg56d6FX0TP6jO4bbtXTbweQmMnakcVCtrTSVviN9bLrhR3cMRdjxdjJE9ALpNi55vKWFjNbrQXXvUxfQ67mSb3pk/tXWmzg3CKO/g14k2R7oml8cvYlzsWMFXMUXBnrQQ0U/csF8t5becBs/tgG7NdaN3VLtgUOCMb9as89Iu6gVzSs3Cyz0ZIhLU00Xx3Raqq0Ie953wlYfvV4M/8IDEkKn01Id+z0LDBE9CeLikFACHdJvRdjDRK8KZsBY0SfSUupnJGwIe8jo9RLggUyHiI2ruz9L1N4VetdTX1Tf2BS2NERpDHUMXL+TWF0hdDq4gLr3Kp4AcDg0hPP8NqmeIrEj7CGj9/AWjvvwSJZBdBJV2Ad/EL2K5jX6zshPyL6dqmawJcmJjB6Ad7ohXQOBqmawQ+3ho9dLMAcjt6UZLAl7+OhFfn2+M/EpnZLaJrIk7HnFbi5Wmz4iepUUjzEUPY6pDX2wprZ3t0/+a++MllwFgSAKiBZIRPf5/v9/3mSrdquMxIBr1B663/OQnDDMwNDzd8OtZiVP9y4e+vW23TOA3O0ltINdWniZK9hj46baeM/QNhXTe131NYc3i2wZm4bZ0rIXvXvmksanj+/T2pKADJAtLbvRe4Fv+tAAsVVtMLGLsNveTjahKXyJScQHqPy4xR4wJ+/a9B74njaP6RR4Ra+rfz4x1U5P+eBGO9tMwjnd4sUJZHN5P9zP01O2ceb3b99F15/0mxRf1ZmoSO+OzDgzdl51Orr2tCS8NBCi3A59mt69ROjdt8ztvGBkC8uUG269sLs1ve300J37cxSeVOMek6kzBwt8SrosdLqG9C6kstCJXC9IpFcWOpHrBZH0ikKn6RXpoYZO6HpBJL2S0Dki1wsy6RVkIiEo0ruYsnvE/IEe/qS3dyJ5ww6cMull9zoEo0jvcsp80OCBL2YF08tMJdEDp1B6mYsKPXAKpadiux/jqygx50kovayn8liBMzXnSSg9lWNoARU4k3OepNLLyFuwzjiTc56k0svY06DOOL+Sc56k0sswBG0Bm8me5jyJpffWjHdCfHzyr459773HD8pj9Vn8/J3z9He3Heii4eLF3tJq5ztwPs15krv21LrLD+K97GLOk2B6q5auFjBnWY4KEkxvFZDG6wRMDOkSTG/VO9sY0JU3m/Mkmd6Kv52GKxeSc54k01sxuINbeuk5T6LpvRySq3FtIqrZ9x7nKaOQXa9Geiomq7pByNKTTi/pDmrboEgPQbdE7OxdR3oY6hdRckLvA6yI3sJF7Z2jKOlda+ub4bMBvYmzKnpzfDZIyTcroffA93PP7kXBq4Ke8tEFfd/s7NCKglcHPaW0ca5tnYtekR7i+hvGcfDCvlQ19ESK9EiPIj2K9EiPIj2K9CjSIz2K9CjSo0iP9CiKoiiKoqha9B/JFrtCOQXfTgAAAABJRU5ErkJggg==)
Let, where f is the function whose graph is shown.
At what values of x do the local maximum and minimum values of g occur?
Where does g attain its absolute maximum value?
On what interval is g concave downward?
Sketch the graph of g.
Beverley SmithLv2
26 May 2020