A.4.2.3 Birthdays

Rule B takes a person’s name as its input, and gives their birthday as the output.[br][br]Complete the table by listing three more examples of input-output pairs.[br]You can list them like this (Abraham Lincoln, February 12)[br][br][img]data:image/png;base64,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[/img]
If you use your name as the input to B, how many outputs are possible? Explain how you know.
Rule P takes a date as its input and gives a person with that birthday as the output.[br][br]Complete the table by listing three more examples of input-output pairs.[br]You can list them like this (August 26, Katherine Johnson)[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUUAAAD5CAYAAACwCyfnAAAanElEQVR4Ae2d34scV3aA9Z9kYcTAQpp5ECYPeojyoizjCYzBeciDXwIjkLIx2AubsBkxT/vcIBMw67CZQSYQAqbBSVjWiNFCMIShX9abXU1Lsizb45bWWvAwWhshmhNuV92qW11VPdXVVdX3xycYpn/cuvfc75z6qupWjX1B+AcBCEAAAgmBC8krXkAAAhCAgCBFigACEICAQQApGjB4CQEIQAApUgMQgAAEDAJI0YDBSwhAAAJIkRqAAAQgYBCYK8UHDx7IaDTixxMGn/z6E1E/5JSa9q0Gjo6ODK0t93KuFP/+hz+UtT/5Hj8woAaoAatr4M9eeWU5Expbz5XiP/3kJ6IG+9Hbb4t6zY+7DH5w9eq0qG9cv0EeqWWvakA5Sp28NfXvXCmqwdSpNv/cJqAOaOTS7RwSfTEBfTVb/O3inyLFxZk5uQVSdDJtBF2BAFKsAIkmeQJIMc+ET/wggBT9yGPns0CKnSNnwI4IIMWOQPs2DFL0LaPMRxNAipoEvxcigBQXwkVjhwggRYeSZVOoSNGmbBBLkwSQYpM0A+oLKQaU7MCmihQDS3hT00WKTZGkH9sIIEXbMuJIPEjRkUQR5sIEkOLCyNhAEUCK1IGvBJCir5lteV5IsWXAdL8yAkhxZejdHhgpup0/oi8ngBTL2fDNHAJIcQ4cvnKaAFJ0On2rCx4pro49I7dLAClOjuVguyfrm7dkeDZpl7ZHvSNFj5LJVDIEkCJSzBRE1TdIsSop2rlGACnamrGprC/Ja/vHYuP5K1Jsr3Amo315be0NORh9194gZs+W15oZahevkWIXlGuMEe0YPaRYg53bm3wno/03ZL1DKdpea13nEymeHsrN3kVZ7+3J3VN1TjaR08M92Vi7IjcPH8rozi25pr5fU212pH9nJM+TLM1pu7kr7w/HxlneM7m7e0XWp/0+S3oQ0TuBGk99PpHno4Hc3OxFY6pxpz8dnjkY0ZW95EwxJnM2krv7u7KV5Glbbu4fyshcn87VWLytXrpJau9URoM9o68499v7MpqEW2tlNdjW50gxV7C6+Hryl5tXZSMpdi0nLS+VkvPavi794Tdx7qpKUbfT4+nfSLGtnaB2v2e/kYOdyzMHryhfGzu35ViLMVdj8YizUtTtZmsuI8WyuvS31mrnp+aGSFEXYnK01qJTxb0tNwfH8ZnhqRzv35hKcmP3UE6nwI22vR155yg+M5yM5ejWzkxbLTtTqqqT2TNF8zMun2vWdQebvZCTwVtRjnfelaPxi2jMRJSX5cbgcXSlkKuxOLxZKaqP9We5y+dwa62DZGaGQIq5gjWKb3qETnlFay8XZT35PG2bijJun+sXKaYkfXhVlk8RXSdJTeRqIZ6/FmByQK4mxaRfjTHXf1lsbh6A9TS7+o0UcwVVLjpd7EiR/yBE+RldKsWkTnI1hhS7ElydcZBirmC7lmLRUV0f0bl8rlPU3WxTlLdoZH3wTM7ocjUWR1j0uT57nHP5nPSrJ5rrpyy2os/trzU9za5+I8VcQdWTorozna4pnsjdve3pAnxawLoge7K1d0fG04cPX8j46N347ra51pgW6lb/yLjb3VVZnD8Od5+NOilcUzQOaLrG1rZl7/AkWmc01p3TJx/My2fzxonKRzpeaLV2fjU22wIp6oJN1nXS4kuFFkHXZwDJZZFZqLN3DKfvzcKeyPPhrfzjFmv6bqIpReMSLOmXu8/Nln4DvU0ey+B68d3n7J+NfiPD/usFd6mvyNbmJeNxMBWTPiDqpw70GnZal9EjWsb3ntdaA5laqAuk2JAUN3Y/kCPzmcbcc4oqL6fZ5x7V3e3bR3JyT/0FQ1aK07bmM2uW/W02Z4rxflblOUXV9Gwkd/rREwlTqU3r45Ecqwe1kwOy7vNYBrvRlcb6Wk+iq4VUiqHVWkyls19IcSnUZqHqx3SW6tCZjZFi16kKt9a6Jo0UlyIebqEixaUKp8bG4dZaDVhLbYIUl8IXbqEixaUKp8bG4dZaDVhLbYIUl8IXbqEixaUKp8bG4dZaDVhLbYIUl8IX7sZIMdzc+z5zpOh7hluaH1JsCSzdrpwAUlx5CtwMACm6mTeiPp8AUjyfES0KCCDFAih85AUBpOhFGrufBFLsnjkjdkMAKXbD2btRkKJ3KWVCMQGkSCnUIoAUa2FjIwcIIEUHkmRjiEjRxqwQUxMEkGITFAPsAykGmPRApowUA0l009NEik0TpT9bCCBFWzLhWBxI0bGEEW5lAp1K8WfvvSd/ceXP5Udvvy1qp+LHXQY/uHpVfvwPP5a/u3GDPFLLXtXAn37/+3L9xvXKEj2v4YV5DT78r/+Ufz3YF21ifn/PWRZ/tbUlv/jol87GT+25W3tt504J8Wf/8t48lS303VwpfvVkLA8ePZTRaMSP4wzujY7l/+79Tj755BNy6Xgu2R+zPnr46FP5/MsvFhLfvMZzpfj1H57J4y8/n7c93zlCgFw6kijCXJiAqm3109Q/pNgUScv7QYqWJ4jwahNAirXRhb0hUgw7/z7PHin6nN0W54YUW4RL1yslgBRXit/dwZGiu7kj8vkEkOJ8PnxbQgAploDhY+cJIEXnU7iaCSDF1XBn1PYJIMX2GXs5AlL0Mq1MSmT6OI6q76b+8UhOUyQt7wcpWp4gwqtNgDPF2ujC3hAphp1/n2ePFH3ObotzQ4otwqXrlRJAiivF7+7gSNHd3BH5fAJIcT4fvi0hgBRLwPCx8wSQovMpXM0EkOJquDNq+wSQYvuMvRwBKXqZVibFIznUQF0CbkrxTIb9V2X9Ul+GL+vOvOp2z+Tu7hVZ37wlw7NJ1Y1W2K5LNiucZoWh/ThTnBzLwXZP1nt7cvfUhQKskJlck4k8H/1KPujvyMbaRVmf/vRka/ffZDh+kWstk7EMB3251tNtL8r6zkDG+Za1PmlWil/IYOdSQXwvZHz4U9lauyzXbn0s46VT2+WOvwopxvNbe1MG40Wt3yWbWiXX2UZeSHEy2pfXppK4IjcPm3sSvZMsTIV+Wa4Nzvkv/Z4dSX/zilzrDxIJTsYfyzs7l/NnI2e/kYPp57tycDiS5y1MpH0pTuT58JZsrfVkq3+08ByimpiVg+87PlJsotQ9kKI+Iv+tXNvsycbuoZw2QaarPsYDubZ26XwpFsYzkdPDPdlYMw8G38iw/7qs996SwUnBGWRhP4t/2K4UJ/L83m251uvJ1t6dGmeIL2U8eFPWc2dMSLE8076zKZ/57DfuS/H0UG72evLa/q/li8FbsrH2hhyMvsvOs1Q8RZdtpzK6cyt72Zlcrr4q/eGZSOX+1CXvR9JXZ21JH+qSdyCjs+/kZBqvcXmr2iy43vVy2JdXTKlOeVxs/eDQphQnJwO5USZEtSzw4c/l5mYvZdrbkf6d+Ix48lgG103eEd9X+kN5KXrH/0c5+OW+0UfxMsRkPJSBuVyxuSvvD8eSXsXH/e18ICMjz9GBWY+Vrl9GuXpTPhh+LO/vbqfx5/pV5ftCxsOBUTvFMWYLPR5z9mCQW0pRfe3L3ZF5+qDjrcDm5VD6ly7JtQ/+V4a3d2Urqe1tuXn7yDiIzav/lGKO89q23Nw/lJG5Flt5zCyROu8cl+KLWCyxCBNBHhuFKwtJLDrz2pabg+Poki25FDUWzKtKMY4nPduJ1gUHHw6TwslJbaEsfiej/Tdk3TgQRP2ZZ44LdVi5cVtSPBnfkT11xr9zW47NnSKJ7FRGhx/KQC8LTE7k7p4SjHkwLJGDluLaRdnYeVeO4rXYSTzm+va+jPS+Ol2uUHHodqdyvH9DNtZel/7wmziaeJyrr8rWpR1556hAmMZBLsrNRVnvGW0L49dLB8ZaalEdJkz0i6J56ysHY8yzYxkoKfduyME9LUa9bQU2U0Gpg40Rn5L4dP1XnaDE+1+F+pccZ7WPDKYHrEwNVB1To1jit9tSjG+wpJfM+lLaEJiCU1ViEm9vFLKIvkSNzxIX6C9a15ovqGWkGJ1RXZSN6wM5me7M+rLxb6Q/MM8yVKH3ZZA5y1miauLHFpr7n5DFZ+yb0RLI+tq27B2eZA9s88LN5Vfv4CVrihmBqo71wUW31+9N0YqIvqGXyFOPU5Tj+DujlqJcG9KI5xTVibGEkhsnahi1y2+fotHx6HmIlG6T23f0tjNzzrERES2ohIOeSHzDM76hd379l3BWqKf3CQyuFcdMWdR/5bQUc+ASgRkwFZvcTqOBzV4+x1LMJFtL0SiWqv0ll3LqcuC/kxskenT1u64Uk7ObzZ/K3eTus5biRVk3L8mSM4Pm1hlbOVNUN1V2/zm6ZFxkTTSXD72Dp3KImOdFFX2uuen2cV0YQstsnzzlEPeXvI9aZdoafUS5Ng6uuvls/NP3FyW65NeNUhmlJwHGd9OXs/PW8zJqN9lkNvaqbNI4cvHJzP50bv3H7TP7WxxgLMFkrvH7c8dM5lf/hcNSjAWWrGdk1+YSmIrNbNElvGaSKPpyvODy2Uxc5f7UQOpy7z+StaGNnVtyx1jLqSPFRIiZyx81lt4JzEu8eLJlSwsJi8VetCLFmHFyBlx0CT1dU/z3hGe6VmucaSWXyVpyem5Vd/y4LkpqK72BU9afGi//3aJSTOeWre3yR6viMZM1RV0PsxyM+JK2+XgjagV9LCSoefU/u//pPKXiTea60JhGPzVeuivF0p284JS8TGIx6AT8FKBeO9KFWLDAvVB/OitqreRQDqYL7OmRe1EplgtRjVNwVquHLy0q3WCx361IMXmOMl2fyj6OEx8I1Y2VQboumz/ozcpBz63qjj/nDEZ3Nf1d1p/6Mv/dYlKcd5mcCcJ4MztvLbS03tLGcdvkLDcfb9RW92GItbSW5khOiup/Dud4jOTkptaY6WwXeeWoFPUZXVGyRfTdy+yCb/5yRJ+RZKQYPw94Y/C4fE1rKuSK/c1mY0ao0RKAeZYzu0H6fr4Q43bT2C7LbPw5Jmm3tV61K0UVUnyDwLyxMbujxJHnGeoDo7EjT9tW3fH19sX1lQIr60+1yH9XWYola4rpuGWv4jGTsz+9Nlcg2LI1ReNyPxqlKSnGMWfqv5xzbmkMKZYlPf48l9DZ9vEZhf4TK722sbkng/jSNXnwWV0iJWcoeo2v4PLTHKJify+Ht+SvzUcfJmM5uqX+IsXY2WLBpjdLzIHS15WEOG0eHzDMO5yurCkaeZhORXPW64taFsk6qjr70I88mQcWfcY8e3DIiyoiXLDjJ3dFzeUO9ZjML9I73wXiSzOWH6uyFNVZ1fTB9ctyrf9R+mjKdOngw5lHadIRExEbUkwOLoX1UHD3uUEpVqr/hLO+yz//7jNrima+jde5o4jxXfRS7xTpDZfJ+Cj7bNj02bb/kYH6+1RzZ4yPSLn1HPPGhbpQrdBfrs30UZDZu8AvZHz0rvFc5OzZTTSjaIfSl/QFvzPFPPusZcESQI7ZYh+0f6YYZ3L6zKK6e64e0XlpSDBmoPJydEd+vj3zV0HJAShuN81xXlQx3eKHvc9GcnfffA4vepwmeSayNSmqqMzLzTTfs2vS2azlzxSj74vqoew5xfS5ylI2Fc/aqtW/OqkeyR3zedDS5xTzV2cye3MnC6TWO0cvn2vN9dyNorOxKwV/Z6uf9fL5b6vPxZNp0KwUM13zpjaBWIrJOmHtjoLeECkm6S+4hEq+02eexmVv8l2YL5CifXnXSyzJzQn7QnQiIqSYpMlYx8n8F1nUIwXRn4Sdt+6XdBXAC6RoS5L1wVxdYje/TGLLLLuMAylmaKcCzKwpbu7KweBX6YJ3Zpsw3yDFMPMewqyRYghZbmGOSLEFqHRpBQGkaEUa3AsCKbqXMyKuRgApVuNEqxkCSHEGCG+9IYAUvUlltxNBit3yZrTuCCDF7lh7NRJS9CqdTMYggBQNGLysTgApVmdFS7cIIEW38mVNtEjRmlQQSMMEkGLDQEPpDimGkunw5okUw8t5IzNGio1gpBMLCSBFC5PiQkhI0YUsEWMdAp1K8cnXT+XTx5/JH7/9lh/HGXz1ZEwuHc8h+2Gxh1RtK1c19e/CvI5+/+xrufdgJL8d3eMHBtQANWBlDfzu/rGMnz6Zp7KFvpsrRS65FmJpdWNyaXV6CG4JAp1ePrMjLZEpyzYll5YlhHAaI4AUG0MZVkdIMax8hzRbpBhSthucK1JsECZdWUUAKVqVDneCQYru5IpIFyOAFBfjReuYAFKkFHwlgBR9zWzL80KKLQOm+5URQIorQ+/2wEjR7fwRfTkBpFjOhm/mEECKc+DwldMEkKLT6Vtd8EhxdewZuV0CSLFdvt72jhS9TW3wE0OKwZdAPQBIsR43trKfAFK0P0dWRogUrUwLQTVAACk2ADHELpBiiFkPY85IMYw8Nz5LpNg4Ujq0hABStCQRroWBFF3LGPFWJYAUq5KiXYYAUszg4I1HBJCiR8nscipIsUvajNUlAaTYJW2PxkKKHiWTqWQIIMUMDt5UJYAUq5KinWsEkKJrGbMkXqRoSSIIo3ECSLFxpGF0iBTDyHOIs0SKIWa9gTkjxQYg0oWVBJCilWmxPyikaH+OiLAeAaRYj1vwWyHF4EvAWwBI0dvUtjsxpNguX3pfHQGkuDr2To+MFJ1OH8HPIYAU58Dhq3ICSLGcDd+4TQApup2/lUWPFFeGnoFbJoAUWwbsa/dI0dfMMi+kSA3UIoAUa2FjIwcIIEUHkmRjiEjRxqwQUxMEkGITFAPsAykGmPRApowUA0l009NEik0TpT9bCCBFWzLhWBxI0bGEEW5lAkixMioamgSQokmD1z4RQIo+ZbPDuSDFDmEzVKcEkGKnuP0ZDCn6k0tmkiWAFLM8eFeRAFKsCIpmzhFAis6lzI6AkaIdeSCK5gkgxeaZBtEjUgwizUFOEikGmfblJ40Ul2dID3YSQIp25sX6qJCi9SkiwJoEOpXi+OkTuf/ooehB+f3MWRaPv/ycXP7B3fyx75XnTtX2V0/GNZWa3+xC/qP0E5WI+58+FDUoP24zePDooRw/vE8eqWXvauDhZ4/k98++TsW15KtzpahkyD/3CagDHLl0P4/MIE9An0Xnv6n3CVKsx825rZCicykj4IoEkGJFUDTLEkCKWR6884cAUvQnl53OBCl2ipvBOiSAFDuE7dNQSNGnbDIXkwBSNGnwujIBpFgZFQ0dI4AUHUuYLeEiRVsyQRxNE0CKTRMNpD+kGEiiA5wmUgww6U1MGSk2QZE+bCSAFG3MigMxIUUHkkSItQggxVrY2AgpUgO+EkCKvma25XkhxZYB0/3KCCDFlaF3e2Ck6Hb+iL6cAFIsZ8M3cwggxTlw+MppAkjR6fStLnikuDr2jNwuAaTYLl9ve0eK3qY2+IkhxeBLoB4ApFiPG1vZTwAp2p8jKyNEilamhaAaIIAUG4AYYhdIMcSshzFnpBhGnhufJVJsHCkdWkIAKVqSCNfCQIquZYx4qxJAilVJ0S5DAClmcPDGIwJI0aNkdjkVpNglbcbqkgBS7JK2R2MhRY+SyVQyBJBiBgdvqhJAilVJ0c41AkjRtYxZEi9StCQRhNE4AaTYONIwOkSKYeQ5xFkixRCz3sCckWIDEOnCSgJI0cq02B8UUrQ/R0RYjwBSrMct+K2QYvAl4C0ApOhtatudGFJsly+9r44AUlwde6dHRopOp4/g5xBAinPg8FU5AaRYzoZv3CaAFN3O38qiR4orQ8/ALRNAii0D9rV7pOhrZpkXUqQGahFAirWwsZEDBJCiA0myMUSkaGNWiKkJAkixCYoB9oEUA0x6IFNGioEkuulpIsWmidKfLQSQoi2ZcCwOpOhYwgi3MgGkWBkVDU0CSNGkwWufCCBFn7LZ4VyQYoewGapTAkixU9z+DIYU/cklM8kS6FSK46dP5PjhfXn85ef8OM7gwaOH5NLxHLIfFntI1fbJ+KusKZd4d2HetsrAjz7/TP747bf8OM7gqydj+fQxuaSW/duXVW0rVzX171wpqqMT/9wnwOWz+zlkBsUEOr18ZkcqToKLn5JLF7NGzFUIIMUqlGiTI4AUc0j4wBMCSNGTRHY9DaTYNXHG64oAUuyKtGfjIEXPEsp0EgJIMUHBi0UIIMVFaNHWJQJI0aVsWRQrUrQoGYTSKAGk2CjOcDpDiuHkOrSZIsXQMt7QfJFiQyDpxjoCSNG6lLgREFJ0I09EuTgBpLg4M7YQmf4ZFH+dRCn4SAAp+pjVDubEmWIHkBliJQSQ4kqwuz8oUnQ/h8ygmABSLObCp+cQQIrnAOJrZwkgRWdTt9rAkeJq+TN6ewSQYntsve4ZKXqd3qAnhxSDTn/9ySPF+uzY0m4CSNHu/FgbHVK0NjUEtiQBpLgkwFA3R4qhZt7/eSNF/3PcygyRYitY6dQCAkjRgiS4GAJSdDFrxFyFAFKsQok2OQJIMYeEDzwhgBQ9SWTX00CKXRNnvK4IIMWuSHs2DlL0LKFMJyGAFBMUvFiEAFJchBZtXSKAFF3KlkWxIkWLkkEojRJAio3iDKczpBhOrkObKVIMLeMNzRcpNgSSbqwjgBStS4kbASFFN/JElIsTQIqLM2ML/ncE1IDHBJCix8ltc2qcKbZJl75XSQAprpK+w2MjRYeTR+hzCSDFuXj4sowAUiwjw+euE0CKrmdwRfEjxRWBZ9jWCSDF1hH7OQBS9DOvzCr6f5qr+m7q34V5HbEjzaPj1nfk0q18EW11Aqq2kWJ1XrSMCSBFSsFXAkjR18y2PC+k2DJgul8ZAaS4MvRuD4wU3c4f0ZcTQIrlbPhmDgGkOAcOXzlNACk6nb7VBY8UV8eekdslgBTb5ett70jR29QGPzGkGHwJ1AOAFOtxYyv7CXQqxfHTJ3Lv/rH8dnSPHxhQA9SAtTUwfjpuzN5zH95ubBQ6ggAEIOAIAaToSKIIEwIQ6IYAUuyGM6NAAAKOEECKjiSKMCEAgW4IIMVuODMKBCDgCAGk6EiiCBMCEOiGAFLshjOjQAACjhBAio4kijAhAIFuCCDFbjgzCgQg4AgBpOhIoggTAhDohgBS7IYzo0AAAo4QQIqOJIowIQCBbgggxW44MwoEIOAIAaToSKIIEwIQ6IYAUuyGM6NAAAKOEPh/OZ7TKFp05SgAAAAASUVORK5CYII=[/img]
If you use your birthday as the input to , how many outputs are possible? Explain how[br]you know.
Only one of the two relationships is a function. The other is not a function. Which one is which? Explain how you know.
For the relationship that is a function, write two input-output pairs from the table using function notation.
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Information: A.4.2.3 Birthdays