CH :KHO ST HM S BI TON LIấN QUAN Cõu 1: th hm s y = x3 3x + cú dng: A B y 3 2 1 C y -2 -1 x -3 -2 -1 -1 -3 -1 -3 -4 -2 -3 -1 A B C D 3 3 2 2 1 y y -1 -3 -2 -1 -3 -2 -1 x -3 -2 -1 -1 -1 -1 -2 -2 -2 -2 -3 -3 -3 -3 x2 cú dng: x B C D 3 3 2 2 1 y y -3 -2 -1 -3 -2 -1 -2 -1 -1 -1 -2 -2 -2 -3 -3 -3 -3 y x -3 -2 -1 -1 -2 -3 Cõu 5: th hỡnh bờn l ca hm s: y x -3 -2 -1 -1 -2 -3 Cõu 6: th hỡnh bờn l ca hm s: x 2x 1 2x D y = x 1 x -3 -1 2x 2x +1 x C y = 2x x -2 x4 B y = + x2 x4 x2 D y = 2 x y -1 x4 A y = x2 + x4 C y = x2 x -1 -1 y x x3 y = + x2 + 3 y = x 3x + y = x3 + 3x + y = x 3x + A y = -2 x4 + x cú dng: Cõu 4: th hỡnh bờn l ca hm s: D x -2 x C -3 y B -2 A A -2 Cõu 3: th hm s y = -2 x -3 -1 -1 y -2 -2 -1 Cõu 2: th hm s y = -3 x -3 y x -3 D y y B y = x -3 -2 -1 -1 -2 -3 Cõu 7: Cho hm s y = x - 3x + ( C) Kt lun no sau õy l sai ? lim y =- Ơ v lim y = +Ơ a) x đx đ+Ơ Ơ c) Bng bin thiờn: x - y y -1 + - b) Hm s t cc i ti x =- , , t cc tiu ti x = d)Giao im ( C) vi Ox: ( 1;0) , ( - 3;0) + + + - Cõu 8: Cho hm s y = x - 2x ( C) Kt lun no sau õy l ỳng ? a) yÂ= x = hoc x = b) Hm s ng bin trờn cỏc khong ( - 1;0) v ( 1;+Ơ ) , nghch bin trờn cỏc khong ( - Ơ ; - 1) v ( 0;1) c) Giao im (C)vi Oy: ( 0;1) d)Hm s t cc i ti x = , yCé = , t cc tiu ti x = , yCT = 2x +1 Cõu 9: Cho hm s y = ( C) Kt lun no sau õy l sai ? x +1 lim y = +Ơ lim y =- Ơ > 0, " x - ị x =- l tim cn ng b) yÂ= a) x đ( - 1) v x đ( - 1) + ( x +1) c) Hm s ng bin trờn cỏc khong ( - Ơ ; - 1) v ( - 1; +Ơ ) Hm s khụng cú cc tr d) Bng bin thiờn: x - y y -1 + + + + - Cõu 10: Vi giỏ tr no ca m thỡ phng trỡnh: x - 2x + m = cú nghim phõn bit a) m = b) < m 1 d) m >1 hoc m10 hoc m< b) m = 10 hoc m = c) < m < 10 d ) 0< m < x- Cõu 12: Vi giỏ tr no ca m thỡ (C) : y = ct ng thng d: y = mx + ti hai im phõn bit x- ộm < a) b) < m 2x + tip tuyn ú cú h s gúc bng l 1- x a) y = 5x + b)y = 5x 17 c) y = 5x + v y = 5x 17 d) y = 5x + ;y = 5x 17 Cõu 15: giỏ tr ln nht v nht ca hm s f (x) = x - 18x + trờn on [- 1;4] l max f (x) = f (x) =- 79 max f (x) = f (x) =- 30 a) [- 1;4] ; [- 1;4] b) [- 1;4] -15; [- 1;4] Cõu 14: Phng trỡnh tip tuyn ca (C): y = f(x) = c) max f (x) = [- 1;4] ; f (x) =- 79 [- 1;4] b) max f (x) = [- 1;4] 10; f (x) =- 30 [- 1;4]