Hàm số - Bài tập dễ

Home Lớp 10 Toán lớp 10 - Sách Kết nối tri thức Bài 15. Hàm sốBài tập cơ bản

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Ch\u1ecdn câu \u0111úng.<\/p><svg height=\"80\" width=\"315\"> <g><title><\/title><rect fill=\"#fff\" height=\"82\" id=\"canvas_background\" width=\"317\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_27\"> <g id=\"svg_16\"> <g id=\"svg_3\"> <rect fill=\"#fff\" height=\"39\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\" width=\"63\" x=\"0.30625\" y=\"1.2375\"><\/rect> <rect fill=\"#fff\" height=\"39\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\" width=\"63\" x=\"0.30625\" y=\"40.2375\"><\/rect> <\/g> <g id=\"svg_6\"> <rect fill=\"#fff\" height=\"39\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"1.5\" width=\"63\" x=\"63.30625\" y=\"1.2375\"><\/rect> <rect fill=\"#fff\" height=\"39\" id=\"svg_5\" stroke=\"#000\" stroke-width=\"1.5\" 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font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"21.30625\" xml:space=\"preserve\" y=\"30.2375\">x<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"21.30625\" xml:space=\"preserve\" y=\"65.2375\">y<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"81.30625\" xml:space=\"preserve\" y=\"32.2375\">-3<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"86.30625\" xml:space=\"preserve\" y=\"71.2375\">4<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_21\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"144.30625\" xml:space=\"preserve\" y=\"31.2375\">12<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"149.30625\" xml:space=\"preserve\" y=\"71.2375\">1<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_23\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"210.30625\" xml:space=\"preserve\" y=\"31.2375\">9<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_24\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"210.30625\" xml:space=\"preserve\" y=\"71.2375\">3<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_25\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"271.30625\" xml:space=\"preserve\" y=\"31.2375\">-5<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_26\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"276.30625\" xml:space=\"preserve\" y=\"72.2375\">0<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> \u0110\u1ea1i l\u01b0\u1ee3ng y là hàm s\u1ed1 c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng x.","B.<\/strong> \u0110\u1ea1i l\u01b0\u1ee3ng y không là hàm s\u1ed1 c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng x.","C.<\/strong> \u0110\u1ea1i l\u01b0\u1ee3ng y t\u1ec9 l\u1ec7 thu\u1eadn v\u1edbi \u0111\u1ea1i l\u01b0\u1ee3ng x.","D.<\/strong> \u0110\u1ea1i l\u01b0\u1ee3ng y t\u1ec9 l\u1ec7 ngh\u1ecbch \u0111\u1ea1i l\u01b0\u1ee3ng x."],"correct":"1","level":"1","hint":"","answer":"T\u1eeb b\u1ea3ng giá tr\u1ecb ta th\u1ea5y v\u1edbi m\u1ed7i giá tr\u1ecb c\u1ee7a x ta luôn xác \u0111\u1ecbnh \u0111\u01b0\u1ee3c ch\u1ec9 m\u1ed9t giá tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a y nên \u0111\u1ea1i l\u01b0\u1ee3ng y là hàm s\u1ed1 c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng x<\/span>.<\/p>\u0110áp án là A.<\/strong> \u0110\u1ea1i l\u01b0\u1ee3ng y là hàm s\u1ed1 c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng x.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2022-09-03 11:00:10","option_type":"txt","len":3},{"id":"5341","mon_id":"1158767","chapter_id":"1158801","post_id":"6180","question":"Cho các công th\u1ee9c $2y=4x-2,\\space -3y=-3x+1,\\space y=4x^2-1$<\/span>. Có bao nhiêu công th\u1ee9c ch\u1ee9ng t\u1ecf y là hàm s\u1ed1 c\u1ee7a x?<\/p>","options":["A.<\/strong> 0","B.<\/strong> 2","C.<\/strong> 1","D.<\/strong> 3"],"correct":"4","level":"1","hint":"","answer":"Xét công th\u1ee9c $2y = 4x\u00a0-2\u00a0\u21d4 y = 2x- 1$<\/span><\/p>V\u1edbi m\u1ed7i giá tr\u1ecb c\u1ee7a x ta luôn xác \u0111\u1ecbnh \u0111\u01b0\u1ee3c ch\u1ec9 m\u1ed9t giá tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a y nên $2y = 4x\u00a0- 2$<\/span> là m\u1ed9t hàm s\u1ed1.<\/p>Xét công th\u1ee9c $-3y = 3x+1\u00a0\u21d4 y = -x\u00a0-\\dfrac{1}{3}$<\/span><\/p>V\u1edbi m\u1ed7i giá tr\u1ecb c\u1ee7a x ta luôn xác \u0111\u1ecbnh \u0111\u01b0\u1ee3c ch\u1ec9 m\u1ed9t giá tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a y nên $-3y = 3x+1$<\/span> là m\u1ed9t hàm s\u1ed1.<\/p>Xét công th\u1ee9c $y=4x^2-1$<\/span><\/p>V\u1edbi m\u1ed7i giá tr\u1ecb c\u1ee7a x ta luôn xác \u0111\u1ecbnh \u0111\u01b0\u1ee3c ch\u1ec9 m\u1ed9t giá tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a y nên $y=4x^2-1$<\/span> là m\u1ed9t hàm s\u1ed1.<\/p>\u0110áp án là D.<\/strong> 3<\/span><\/p>","type":"choose","extra_type":"shape2","user_id":"131","test":"0","date":"2022-09-03 11:28:42","option_type":"txt","len":0},{"id":"5344","mon_id":"1158767","chapter_id":"1158801","post_id":"6180","question":"\u0110i\u1ec3m nào sau \u0111ây thu\u1ed9c \u0111\u1ed3 th\u1ecb c\u1ee7a hàm s\u1ed1 y = 4x – 2<\/span> ?<\/p>","options":["A.<\/strong> (2; 6)","B.<\/strong> (–2; 10)","C.<\/strong> (1; –1)","D.<\/strong> (0; 2)"],"correct":"1","level":"1","hint":"","answer":"+ Thay x = 2 vào hàm s\u1ed1 y = 4x – 2 ta \u0111\u01b0\u1ee3c y = 4 . 2 – 2 = 6. <\/p>V\u1eady (2; 6) thu\u1ed9c <\/strong><\/span>\u0111\u1ed3 th\u1ecb hàm s\u1ed1 y = 4x – 2.<\/p>+ Thay x = –2 vào hàm s\u1ed1 y = 4x – 2 ta \u0111\u01b0\u1ee3c y = 4 . (–2) – 2 = –10<\/p>V\u1eady (–2; 10) không thu\u1ed9c<\/strong><\/span> \u0111\u1ed3 th\u1ecb hàm s\u1ed1 y = 4x – 2.<\/p>+ Thay x = 1 vào hàm s\u1ed1 y = 4x – 2 ta \u0111\u01b0\u1ee3c y = 4 . 1 – 2 = 2<\/p>V\u1eady (1; –1) không thu\u1ed9c<\/strong><\/span> \u0111\u1ed3 th\u1ecb hàm s\u1ed1 y = 4x – 2.<\/p>+ Thay x = 0 vào hàm s\u1ed1 y = 4x – 2 ta \u0111\u01b0\u1ee3c y = 4 . 0 – 2 = –2<\/p>V\u1eady (0; 2) không thu\u1ed9c<\/strong><\/span> \u0111\u1ed3 th\u1ecb hàm s\u1ed1 y = 4x – 2.<\/p>\u0110áp án là A.<\/strong> (2; 6)<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2022-09-03 12:04:36","option_type":"txt","len":2}]}