Приклад 4. Знайти період функції
![](data:image/png;base64,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)
.
Розв’язання. Функція
![](data:image/png;base64,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)
має період
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAQCAYAAAAf8/9hAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAC5SURBVDjLY2hsbGSgBDMMTgOijBkWMjAw/MeOZd945NUb4jQAv2YglvHYk9bRwYPVgBw32WLj6AYfiEGyvSCbOjrSeDxkGPbAxPF6ISsrSwVE19fHShobR9eD2XkehrKyHiuRbSUYBqguYVgo65ZTTHQgItsIcokRg+wp5EDDawDY6QwMd2G2N0Qb+zAwGN+Nra+XzHNzCwPROA2AaUYOZZBXYKGPyxtwBsQ21DiGGUBSGAyTvEAKBgA6R3CUshqzNgAAAABJRU5ErkJggg==)
, тому функція
![](data:image/png;base64,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)
має період
![](data:image/png;base64,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)
.
Приклад 5. Знайти період функції
![](data:image/png;base64,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)
.
Розв’язання. Функція
![](data:image/png;base64,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)
має період
![](data:image/png;base64,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)
, тому
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACkAAAAvCAYAAAB+OePrAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAIuSURBVFjD7Zg9joJAFMff9u4B3Dh2HkCm3q0MobDeRAnVGgtjaCwoLNCOZg9h6RnWg6yJnkDPgMsMPhgJHyroTLIUL3EgOD/m/d8XsFwuQXVTHrCGrCFryBryUZsDvOStpUPOJz2NABypueiztWsb3WB9gJaxGXteQzrkwqT94NT8wE5Ahyu+ToFTwt1TncwQVFlNnl0cuVxJSM8bN4wWbIg+nal7kgPjgxDY5ulRKiQ/RcP8CoOI7i3XbVYGmZXLbgqWIFBsnY4M2+2GuiTb3mSuDSn5ZtdKQYbRSI5pf3RjRPuoQ9Qlu5YVQPdAHspA/p/azTSHdmu9zXuuMkjXtZoUYH8uWT61rBGlpov3hxRWoibDdRiZ4W/2XH6kloLkAiZkLeqNbxxEoiDuE4Ps2fZ7vKZ7TYMfJvroJQvK3N2QuAHbDF3GrwknmYxurL0YldHLFCTnUu4+u4yfjuU4b0l9pUNeupf/RwakqPciyw0czGPoWtH9FUD619pVKShqowSIspDVaFLQX9ycJqFkQwaBw8oV6iJZ/EVIdj+CDPSLmosgHef1IZC6bn/G+Y7nvB0CXl4nh3YbfkUN8ZwKsEt7th5pnzHSXlNKpY4Ngnxy2z85gEL5jfuFbFAJE+KgM7DdTtrUmDWQKREYYvpTF/I85yjj7jRjOThv9lbjFImxVnLuzmq0lYNkbi76DiQVEgHFqoMfDJSAjCeAhGU1y5IAU7txpfNk3ao9y/4ArM7jKSLg4MQAAAAASUVORK5CYII=)
має період
![](data:image/png;base64,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)
.
Приклад 6. Знайти період функції
![](data:image/png;base64,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)
.
Розв’язання. Функція
![](data:image/png;base64,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)
має період
![](data:image/png;base64,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)
.
Тренувальні вправи
Дослідити на парність чи непарність функції:
1.
[Парна] 2.
[Непарна] 3.
[Парна] 4.
[Парна] 5.
[Ні парна, ні непарна] 1.3 Основні елементарні функції та їх графіки
1. Лінійна функція:
![](data:image/png;base64,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)
.
Графік функції — пряма, досить знати дві точки, бажано точки перетину з осями координат:
![](data:image/png;base64,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)
;
![](data:image/png;base64,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)
.
2. Степенева функція:
![](data:image/png;base64,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)
.
Якщо
![](data:image/png;base64,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)
, функція визначена на всій числовій осі, тобто
![](data:image/png;base64,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)
.
Якщо
![](data:image/png;base64,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)
— функція парна, то приймає значення
![](data:image/png;base64,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)
. Ії графіками будуть параболи відповідно другого, четвертого і т.д. порядків.
Якщо
![](data:image/png;base64,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)
— графіки параболи третього, п’ятого і т.д. порядків.
3. Показникова функція:
![](data:image/png;base64,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)
.
Область її визначення
![](data:image/png;base64,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)
, область значень
![](data:image/png;base64,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)
. Якщо
![](data:image/png;base64,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)
, функція , якщо
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEMAAAAUCAYAAADWQYA8AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAGsSURBVFjD7Zc/bsIwFMZfd3oAKnwIcOdOCFkVFygRKwNCWRgyMJhsuQYjQ2/AUcIJyhlo4yQP4uD4T0IrFTmShxjb7/mX9302EMcx+FY0D8HDcICRPU/YHm7Dmj3ddHA+71OAYzbpDECPc877jwJiG9Bptq9vMlmtjTAQBA220+vk/w8kSRY9NoBD8YEtYcwo7GDADosk6UmL0NmuTTnykA0JYXtcz2YOlnEbiZpi5r8BnIwwsCrqA1cTsnapjktCAF9VsKY5+YcopRmE7F2XdNuY9jDKgSgRWWfkxEI+NCaEfmMJQfKosvrEOyNkL8q5nkvXmNYw0FzUMJoTkxICmrr4Sx2EJFdNNbaN+aswKgm1MlnVpk0+1SVmZ5kUnqGWSQnqcgS7mF6TRzX13yXmXxhoOTfNx0XRi/2Zf7uuDn7XmNYw7nG0So4eRc+6sSrImKyLBFxiOsGoSkWUn+uxqkywweGxAsbLzUjEyislG89e4VPA5x/szVQdrjE3y/EIYajk1bxoocu0y+1TdwGq3QrPAoDU1+Kip4t5vcdgu92b/7fqYXgYHoZL+wF4y4dlHtZ0NAAAAABJRU5ErkJggg==)
, функція ¯.
Причому, для довільного
![](data:image/png;base64,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)
, тобто графік довільної експоненти проходить через точку
![](data:image/png;base64,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)
.
4. Логарифмічна функція:
. Це функція обернена до показникової,
. Тому графік довільної функції проходить через точку
. 5. Тригонометричні функції:
.Функції
та
визначені для всіх
та мають множину значень
.Функція
визначена всюди, крім
,
, та монотонно зростає в кожному інтервалі області визначення.Функція
всюди визначена, крім
, та монотонно спадає в кожному інтервалі області визначення.Множина значень
та
— проміжок
.Функції
,
,
— непарні, їх графіки симетричні відносно початку координат,
— парна, її графік симетричний відносно
.Функції періодичні. Найменший період синуса та косинуса
,
та
—
.6. Обернені тригонометричні функції
Тригонометричні функції в інтервалі монотонності мають обернені:
— обернена до
на відрізку
;
— обернена до
на відрізку
;
— обернена до
на відрізку
;
— обернена до
на відрізку
.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAi0AAAD3CAYAAADR02QSAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAByKSURBVHja7d0/bBRpf8Bx1vb7yoEQLcR414cPm1ti+b3T+awXomyK90RJkcIlJSUlJSVXUSJFkSgpSRNRIqWIS4oUVBElShpK0kQoSqIJs8yYx8Ps7uzu7O7M7Oekr8x51zO7zzzzzPf3e/5d+O233y4AAABUHYUAAABICwAAAGkBAACkBQAAgLQAAACQFgAAQFoAAABICwAAAGkBAACkBQAAgLQAAACQFgDAcrnabkf97nrU7R1FygOkBQBQWbrbW9FRa420gLRAxAQ0mV9vbUQXLlyI1rv96Er7yuC++6XXOff/s9A/2BocP+V3t/40OGbvRjfabbWi3Z9+GgjHWusourbdidI2IPv+sH0IX0uFJf1depz4O4TnDV8LP1/6vlZrN9q58UMU/q6sMgBpgYgJQEnED+nwgR7LwY97f/jmgZ0KzjBCwUjF5Pra9XMyEMvBj3/YyxWJbNCSvj/++1GvpQKUvpZtR2JxGicg8Xviz5/+VC9IC0RTI6MpEROwHLJyEd+LN/d+jubRBg0TjXFt0qjXssfKfp/4/79b+/GbNiPvGFsHfe0EaYFoqlg0JWICFk/2Pjva2x/5gJ8moImPPepeH3d/j3ote6y0jUkFpEiApmuatEA0NXE0JWIClistg/un98do1P1dNKDJBkrjpCX7/lHHGtVupO8flZnNcrt3PTo46Ah0SAtEU8WjKRETsHjSe2b755+jW9vHpXWlxvd62F0b/n9e25C2UaE4pBI16rW8DO3h+mHh9i1uV+I2Jj5Op3Nn8P1jiUk/N0gLRFMiJqBi0lLk/pqmzUnv387BweD+zrYpeeKSvhYGKcNeC8fIxd9h9+b1c+9LyWZf02ArbSvC48jUkhaIpsZGUyImYDn0fug15h6J27pbvR+/GXs3rmsZpAWiqYmiKRETsCBJScR+e/ta47pT87qg499pC0BaRFMiJqCm0hIHF2GWtGkB2qhAB6QFoikREwCAtGA1oykREwCAtAAAANICAABAWgAAAEgLAAAgLQAAAKQFAACAtAAAANICAABAWgAAAEgLAAAgLQAAAKQFAACQFgAAANKCxfLrrY1zOyuH1HXHaAAASMsKCUvMercfXWlfIS0AANKC5dE/2Iq6vaOBkPRvXhtkVK6221G/u372ewAASAuWznfdnYGYdLe3ov2924N/9250o07njuwKAIC0oHqEGZe4u2jroE9YAACkBdUizKzEGZef1nYMvAUAkBZUi1hSjlprZ1mWX3qdaK11FF3b7kRHe/uDn8oJAEBaUAlhCWcHxd1E6awhXUQAANKCShBnVbJrsKTSQlgAAKQFAACAtABY2UbpwoXTUYskAhjKKWkBAABYZWkRTQGiKQCQaQEAAKQFAACAtABYzYbowoXDz2wqCwCkpfkN/sTjIpQbKlaHXwT182My5i3lSYa7GY6VIUBaAGBR0vLsM+9KGqj8KSM9rzLS8yAjPV3XACAtADCtxBwGUvEgIx2vM1LyruTZWW+CY78Ozvs4lB3XCSAtAFCG9GS7kB5lxOdlRnw+zToNPZPVeUxuANICAPMWns2M8ISZnheBoLyfUmyeJsc6ITUAaQGARYvOfiA5jzPdWB8LCM2H5L3PP/PwM33lCpAWAFiW2BwnUvMw00U1bnxNLDL3YzFSjiAtCqFRXG23o353/azRa7V2o50bP5jiDFRbaLrB2Ju4C+rtiIzMy0RirGsD0oJ6C8udTudMUrrbW9FRa424APWVmbS76VVON9OnRGBOlBVIC2rH9zudqLuze05Oeje60W6rFW0d9EkLUH+JOU6yMW8yAvM+GTAs+wLSgvqSZltIC9A4gekm42PeZ7qP4sxMWxmBtKB2xJmW62vXdQ8BzRaY+5lxMB+TVYbbczqfjA5IC8rn11sbsizA6sjL3WSqdZh5uVfyOeIuqmfKG6QFpRJnWTqdO9GV9pWppKXsxg7AwuTlODPu5XlZ2ZFkUPAnezaBtKA0sjOJpmiYTpIoTRoYqK+8PA3E5d2si9YlMpQeT7YFpAXlEHcLdXtHU3cLBf3jj5QnUGtx6Wc2lXwyw7FeZaZcl5JtidurYQvsWbIBpGUFheV2r/hg3CTLEvaJy7YA9RaXzUzW5cUUxzjOkYqZsy2jhCVmvdufuosbpAU1EJZZb/yc1TgfKVugEfJyHCxS92qSgCSTZSkl29I/2DoLsPo3rw0Cq3RV71kyxSAtqLGwxBSdQZTJssi2AM0Ul3Rtl9dFpkUPybLMnG35rrtztnr3/t7twb9nnUAA0oLVatCG7XnySPkAjbnP9wNxeTtOXJIF604zu1a/Tf7/9axBTZhxsUwDSAuKNmQnI6Ip2RagWfd7OwhS3hZdiC7YmfpuGZ8jzKzEGZef1nYMvAVpQaHG6DBZnCpcoOpp8Lu2cgIaKy6nRQKTMqUl3WYkzbL80utEa62j6Np2Jzra2x/8dJ1AWlCkMXuRNEwPlAfQeHFJp0S/WpS0pMISThKIu4kmHYcH0gKQFmC17vf9pAt4sHruIqQlzqpk12BJpYWwgLSAtAAYdc+H06GfzFtaANIC0gJglvv+XrL2Snzvn5AWkBaQFgBVvvcfJfd+nHXZJy0gLSAtAKp8/6er377JzigiLSAtIC0AqnT/t4PF556RFpAWkBYAVW4D+nnjW0gLSAtIC2aNitMFAB/YcgEl1q1vxreQFpAWkBYR7d2Ah/GU0wyvgr1fToPUfR6flCtKrJ9n41tIC0gLSEv9y+owIx2PA9l4mpGNNyNkY1reBMd/MmqNDWCK+t0OFp57QlpAWkBaqvXd94dkPV4HclCmdLzNiM3znEzLSfCZ+uooFnxP3M3UV9IC0gLSssCsyINEBp7NKCIfMsLxKiMbjzNZGA096nrvPE27H0kLSAtIS3mfvZ9kJsKxIJ8mEJE8AXkYiMe+OoIVbBM2M92bpAWkBaRlgs/YTSQilZN3E4z/eJb83YPkGIeuOzD2nou7Tv8vuZf+QZmAtIC0DP9Mx8kUzJdjZs+8Sd6TjgUxBgQo7z5Mg4P/ju9JZQLSAtLy9XOcJANTP4wYTxLLyX3ZEmAh9+Rp5h7cVy4gLVhZaUm6fZ4lC1qFkvI++VwPCQqwdGn5t+Tnv3/mn5QNSAtWSlqSmT0vcqYDP5GGBionLX/3mf/4zP8k//9U+YC0oPHSkgyEfZWRlReyKUClpeVusvDcSXDfPlBGIC1opLQkmZWwf/xj0i3UdQ2A6ktL8LtHwRougg2QFjRLWpJG7lMwmC9ehK2t7IH6SUvy+1fB7L1NZQXSgtpLSzLI9nWmG4isAPWXlnN7FCkrkBbUWlo+/3cvmBEU/7yvrIFmSEvy2l0r5oK0oPbSkqy1kjZmr41bAZonLcnrT4MlCtrKDKQFtZGWZL+Sl0F25YHyBRotLeEeRS+VGUgLaiEtSR/3aSAsx8oWaLa0JO/ZDwbaC1RAWlBtaUkG3L4N0sT7yhVYDWlJ3vdgkmnQv97aGLrRaau1G+3c+CFS/lAIKF1akijrfbCirfErwIpJS/LetGv43ahp0KOEJWa924+utK+QFpAWlCstSYYlFZZTA/GAlZaWzWBX6NzxLf2DrajbOxoISf/mtUFG5Wq7HfW762e/B0gLSpeWpIF6GwiLBaaAFZaW5P2HwVIHj7Kvf9fdGYhJd3sr2t+7Pfh370Y36nTuyK6AtGCu0vI6SAW3lSNAWpK/OQnGt/Tz3hNmXOLuoq2DPmEBacF8pCVYh+WDQbcAacn5u6fDBuaHmZU44/LT2o6BtyAtmI+0JPsGpVHUsfIDSMuQv30dDNBvx7+LJeWotXaWZfml14nWWkfRte1OdLS3P/ip3EFaUIq0ZJbtvqfsANIy4m/PjXvrXPvLgbCEs4PibqK0TdFFBNKC0qQlmdpsgzSAtEzy92czDNt/vvnNGiyptBAWkBaUJi2ZpbpPlRlAWiY4Rjij6KlyBWnBvKXluU3RANIyw3HuBUv9P1O2IC2Yi7RklufuKy+AtJQgLi+s7QTSglKlJemPTtO6j5UVQFpmPF4/aFNeExeQFpQpLa+NYwFIS1nSkhzzMLNfWVtZg7RgJmn5/N/D5HcfbYIIkJaSj7sfTId+p+sZpAVTS0vSoKR9zyfKCCAtczh2Ozh+lKyiq7sIpAXFpSUzvfmF8gFIS0kDcaNJcQ1ICzBOWp4FKVtRD0Ba5pJpyZynn7Q5kYH/IC0oKi1/b3pzZa7JcbzysEGKWAVpSc61GbRF6bpQDwRPpAUYJi3/lfx8pFyWfk3uBgOhyQsaLy3BOU+C2UXpbvKP3QOkBUgbiX8MGohXyqRS0hKRF6yStGTk5U3mHnhmNiNpWUTlezDNICwA30BesBLSkhH4V5n74G2SfTl0nUgLaQGqzekyHyIgLUv6LIdJV/bHzP0Qdx+9jLu147FgrhtpQbMbpTiC+c9RGyZiadElWUEjpeVqux31u+tndbvV2o12bvwQTfC5ToYITDqR4DRZ9+W+bAxpQXMapHR68/+SlkpLC1lBY6QlFpY7nc6ZpHS3t6Kj1trE4hJ8xsNkBe8XmWnTUU6X0uuke/Vhco/tu86kBfVojMIuu38mLZWUFrKCxknL9zudqLuze05Oeje60W6rFW0d9KMSPnM7uX+eJJnk9wW6XD8k3/Vl8nePkmMcqwekBctviMJl+h8N2zARAGlZxJiWNNtShrSM+C7Hgcw8T77b2wnGkr1L/uY0+fsnCfeT48rckBbM4cYNl+l/lfyOtABYmrTEmZbra9en6h4qsV2MpeNeICOpoHyaYdD8m+A4r4Njh11UZ6hzpAXf3pzPgtUm26QFwLKl5ddbG3PNspQsNneDjE1WcE7nsMTBaYYXmXOHmZ5GrWHjJtQAhYM77wa/Jy0AliItcZal07kTXWlfadwGiTmicz8jHC8zQvKuROF5n+nOOiEtqNPN000Gm8WV+UnmNdICYOHSkp1JhLHSczfpVgrF518+868FMj3PSQvqVPnTFSVPc14jLQAWLi1xt1C3d0RYZrtGafv9KjvbKdk9Ox2rc7d2380FXtlK/SjoH90nLQCWLS15wnK7d13WZXppiYbJS22/mwu8khW6H4x+vz+m0pMWLLu+PssZeIjl8TFYmK2047b/rJXbhdH6/V9EGxsbkXKfiA9DuoNqLy8axdV7ALSDhZVeFDB10oKqRPYAZufVhRpvrqpRXL0HwKtgrYBN0oIa1NnjnIGHWB5vg0UolUc1ed3ELAtpWb3Gf+Q4FtICYILM113lUdlr9KKJ41lIy2pV4nAcy8kElZ60ACAt9ZOWRskKaVmtCrwfDMx6OqGpkxYApKVe16jd2O/mAje/8gYDb19NaOqkBQBpAWnBQhqXzWDQ3MiBt6QFAGkBacEyG5d0BPn7SdOFpAUAaQFpwaIallQ6PoybKURaAJAWkBYso0HZDNZi+Tjt6HHSAoC0gLRgno1JO2hQPs4y3Y20ACAtIC2Yp7C8Dcaw7M94PNICgLSAtKD0RmQ/mNYci0u3hGOWKi3x7q3D9sJotXbt4gqQFoC0rEAD8iDYdfW0rEWFypSWUcISs97tR1faV0gLQFoA0tLQhqOb2RTrxSTrsCxKWvoHW1G3dzQQkv7Na4OMytV2O+p3189+D4C0AKSluY3GvWBZ/o9F9hJalrR8190ZiEl3eyva37s9+HfvRjfqdO7IrgCkBSAtDW4supndO0/LGL8yT2lJCTMucXfR1kGfsACkBSAtDWwk9hOJSHdpjn8+nvM5S5OWMLMSZ1x+Wtsx8BYgLQBpaVjj0A8Wikt5uYjtxsuSllhSjlprZ1mWX3qdaK11FF3b7kRHe/uDn641QFoA0lLPBiFeb+V+0DCkmZXns669smhpSYUlnB0UdxOl30sXEUBaANJSv0bg8DMPc7Iq8SDbJ/MatzJvaYmzKtk1WFJpISwAaQFISz1u+rufeZRIyoectUtOE4nZXOJntCIuANIC0rJCN/dhMj35SSIo74YssPYhef1BWYvDkRYApAWkBeHNu5lkTWIeB3LydtQKsMlN/zyRlP2KfjfSAoC0gLTU5MbsBkLyMBGS58kNO05KomAfoNfJ357EmZcafX/SAoC0gLQs6UY7DiTkbiISMU+Tm3ASGQm7dU4DMXmSHPu4AeVFWgCQFpCWCW+QfkY2wsxHyPNAPk6DXY+n5TRHSE6S8++vQMNEWgCQFqymtASZjnsZ2XiZkY03M8pGHu8z53gWnP9+IENtlYK0ACAtWEFpSTIiswrH24xwnOZkWR5lMjHHLm750nL54ma0PvJarUebFy9HwTEmvt7KHiAtwLKk5SRYJC0VjpcZ4biXEY6uC1NNaQEA0oLGSsuMNwSACcdhadRAWkBaINMCAKQFpAWkBQBpAUgLSAsA0gLSAtICgLQApAUNk5ar7XbU766fDRpttXajnRs/mOIMkBaAtKA60hILy51O50xSuttb0VFrjbgApAUgLaiWtHy/04m6O7vn5KR3oxvttlrR1kGftACkBSAtqIa05JFmW0gLQFoA0oJKS0ucabm+dl33EEBaANKCakvLr7c2ZFkA0gKQFlRbWuIsS6dzJ7rSvkJaANICkBZUU1qyM4kAACAtmFVaTpJduI/LPG7cLdTtHREWAABpQXXJE5bbPYNxAQCkBRUTlnQ13JD1bt/YFgAAaUG1hSXGDCIAAGkBAACkBQAAgLQAAACQFgAAQFqABvJLrxOttY6ia9udRg4YtgcUANICNIB41tPvbv2p8Q/zeJXifnfdTC4ApAWoq7Cs2sq9/YMt4gKAtAB1Iu4SWoUMC1kDQFqAGtPd3ooO1w8bO4bF9wdAWoCGEHeRrHqmQTcRANICVJxFZRlGbWvQau2WMpNnlnPItgAgLUDFWcRYllEyUdYGkmWcw9gWAKQFqDDzflCHXU/9m9cG2Y50unFZ5y3rHLHA6SICQFqAChI/2O90OnNdZO277s7g2HH3y/7e7cG/48XdOp07M2dXyj5H2Z8LAEgLUBKLHMcRZkPi7M48MhqznsO4FgCkpULEkeRu748r3yCnXQirXg6LyiyE54nF4Ke1ndLLv4xzxJmn4+1bpAUAaVmVB1QdWES3SB3427+6Gq1f/eu5lkEsEEettbMMSLiv0dHefimCUOY57lzdjLYPjkmLAEmA1ND6UcdrsnIVJG7Ub20fE5ZMmax6V8DdXnuu0pLKRDhzJ+7CSWf0lNFFVPY5SIsASYDU7PpRx2uycpXEVM4hxl2hBcUuX9yM1tc3o0uXLg/9PJcvXYo21zeiiyPeUyVpiTMe2fVRUqEoq9zLPgdpESAJkJpfP+p2TWb640u/X/92HYiNi0O/+MWNCyPXjwiPcfnSxWhj8OD6/DO7zsTvL0XTXpx5jCFoivF/t/bjxBX3cs71yV0bpOA1+1KnisnIQG4+H3tjc3Zxmbe01BHSIkASIJUfIFWxftRpFezpL3T8MMpc7C8X98tDatiDJH1P+PrXv/taMb4+DM9XllSUphGX+MKUsXhXE0nX8pi24qZ1Iu+6XN7cGCmz5943pgEZJk2zigtpqba0CJAESE0JkMbVj7SbN/4u6Xi0ql6TWkjLMGH5VkDWo82L+Rc4riy50hIcc1BBcxqls4o74cMtfSiv6u69Rc1/WqkbKS1DrmVZ8jGQnQuzRUKkpZrSIkASIDUtQBpVP0YNpK/yNamstBQRkiJic+n3G+f+Pk9axtp28t68RmiY2caVoW6rfC5yZdJYWrI3yBchGH+jDmtI4t9vFrjJBw+InOv/5fzn69sgij4nuF/qQHruonWiTtIS14P4OiwynbxsaREgCZCaGCCNqh95MhOX1SLq0izXpLrSkjYiYy7a18glvzG5uLE+lbTkHbfoA2owrazVmrsAhLM18irApA+fWaVl3OfJvjc7kHNWack+NEbKcKaxCVP84XG//P789Q5FZhppWcS+Q3WTlmVOhxQgCZCaGiANqx/Dfh+3y4vItuRdk/pLS1KpLhQauJSfus0b1DSqIcn2Y06bmitbWtKHSEz6sMum8vKms81LWqb9POOkZXKh/ZaijVDe+/IaqEF92ThfV76k8kc/4OosLctgqdIiQBIgNTRAGlY/0t9nr1c4K7DoNQ3HxeQxLMtT1i7zDZOWdNDbFA3J5sbU8pJe7DIakrhybd/8m3Misv3zz+f6IsPXZomOizQkZX2eMqRlqoZkRGOV18jkRVRFGzzSUhNpESAJkBoaIM1bWsLVrO/s7Q1+FlmPpZnSUjj6GZ7aHRwjY7kTpWwLfoaiFSVOiY0bjZ79m7yVRYf1Bw7Oe+Ow8Ocs8nmyD9eyPs88pKVIynYSaclrRBYlLdNcm8FNdqHgTJaAiW/kOZyj/tIiQBIgVTNAyqsfRaRlkmBj0k1TmyktBUbsnxOLnIYhr2JN1c88oemWGf1kl11Oo4zeD71v5GFRDUkZn2ceDckkD6hhdepcOnZzM/e6y7SsaveQAEmAVK8AaZZMy7hjxxmV7a3O2WrY4aap455DjZSWcUJy7iGT14jkRD7DGpK4YoxK4U3akKR9fGU9mML+2/RCZ1c4LGPFw6Ip2zI+zywDvsZJS/z6xojXRv3tV2kZPjPAmJaGSYsASYDU0ABpWP0ocyBu2NYXXfG2sdJyPnU6pL+44KC4bxqHTEMSV6Dz/Ytf+5wnHb29qGmIaYUctjDQpMuqzzo4btznGRcxpQPUxjUQI6chDl4bfn2GDY47LySfJXZj+DGaPnsojYoXOSMlT1rSe3/aRdcESAKkVQ+QRtWPvDZ4minPYWalaNu2qFlKS5GW7ANt3GqEhVenzDnGtythDpkNUKBhqcKCT+nDp2jlWNQ0xGGLC329dvnlW3SVynELPg2bhhjWgXGLiDV5nZZJ600Z5K3TskhpESAJkJoYII2qH+MWlytyTbPPubis4/eHY1yKXpNl3PNzlZaJ5WZExBSmg+dVOFVaWjuvb3iZjFvG+eJG+Xtv5D1MciPeIWna8zfVaqyIm84GWJa0LAsBkgCpKQHSuPoxSv7GXdO8Lp5UdEbVg1Er4q6utBTqQz5fIeZBFTaGiuXp5t7PlXpAjkohxo3F5iK6A3LkI28wZVHZaZq0LLre1HHDRAGSAKnqAVIZ9aPsa9rovYembUiKPlTiSjFPaVn2NtxV7DcM5/XnPwTm24jkWf3goTNmB9Yy9wJZlLSkEU12TECRqLlovZn2HI2RFgGSAKnCAdKs9WMe17ROExEW1JAUf+gtotJm1xpYdW73rldqxPhZmn5stDz9YLhlSEt2gae0/7rMEftlnqOu0iJAEiBVOUCapX7M45qOuiYrKy1VxBTXrxF83fZIqWt9+H6nE3V3dnPXZijrGpR5jmVOeRYgCZCaGiBVrX5U7ZqQFqDCjcciNteb5hxFlv2GAEmAVO/6UcdrotIAvxVb5npe572+Nt9IZ5pzkBYApAWoKGUszlXVSGeacyx7PAYAkBZgCMvILCwiuzPtOZaVeQIA0gIUoMimYnWSpFnOsaiFxgCAtABTsMgBcYsQpFnOsUiBAwDSAkzIosZx5AlB2dMOZzmH8SwASAtQA+Y9MDbdO+SbPXBK3Kdm1nNUYSVXACAtwG/LyzIMk4lJduKd9zlkWQCQFqBGxJmGVV0MzFgWAKQF8PCuhazpFgJAWgDiQlgAgLQA8xWXqu2UWyZlb9gIAKQFAACQFoUAAABICwAAAGkBAACkBQAAgLQAAACQFgAAQFoAAABICwAAAGkBAACkBQAAgLQAAACQFgAAUCv+H3GU/3PRoaRKAAAAAElFTkSuQmCC)
7. Перетворення графіків функцій
При побудові графіків функцій часто використовують дефор-мації та паралельне перенесення вздовж осі
та
.Треба знати, що:
1) графік функції
— дзеркальне відображення графіка
відносно осі
;2) графік функції
— дзеркальне відображення графіка
відносно осі
;3) графік функції
, де
— паралельне перенесення графіка
на а одиниць масштабу вздовж осі
;