меня от гибели9 класс, тема: сумма n первых членов прогрессии.​

1  yesterday i had  breakfast at the canteen.  2  last summer we went to the black sea.  3  he didn't call  me last week.  4  why did this girl come to  our office yesterday?   5  when did  you buy tickets last time?   6  last june the boys played  football every morning.  7  on sunday my parents  were at the theatre.  8  i didn't take part at the conference last month.  9  he lived in kiev in his childhood.  10  where did  he send his message?   2 трансформируйте предложения в past simplе  1  he often played chess.  2  our classes began at 9 a. m.  3  she  was always busy.  4  what did you do in the evening?   5  my sister didn’t study at school, she worked at the hospital. 6  my friend prefered tea to coffee.  7  i found many stories in this magazine.  8  he was in my room,  wasn't he?   9  why did you always ask so many questions?   10  jasmine seldom visited her grandparents. 3 образуйте отрицательную форму предложений  1  in summer she didn't get up early.  2  mr. white  didn't write a lot of letters yesterday.  3  on friday they weren't at the station.  4  we didn't  enjoy our time in rome.  5  they didn't  watch a football match last weekend.  6  the girl didn't open a box at once.  7  i didn't leave my keys on the table.  8  the engineer didn't go on business trip on monday.  9  my friend didn't want to move to another flat.  10  i didn't find a surprise in the present-box. 4 поставьте вопросы к предложениям.  1  he learned english at school. (where? what language? why? or …? )  where did he learn english? what language did he learn? why did he learn english? did he learn english or french? 2  the train was five hours late. (what? why? )  what was 5 hours late? why was the train five hours late? 3  i was going to stay at my aunt’s in the crimea. (where? who? or …? ) where was i going to stay in the crimea? who was going to stay at the aunt's in the crimea? was i going to stay at my aunt's or in the hotel in the crimea?   4  they stayed in moscow only for two days. (why? where? how long? ) why did they stay in m only for 2 days? where did they stay? how long did they stay in m?   5  i bought a very beautiful dress in this shop last weekend. (where? what? when? ) where did i buy a very beautiful dress last weekend? what did i buy in this shop last weekend? when did i buy this beautiful dress in the shop? 6  they traveled to cyprus by sea. (how? where? or …? ) how did they travel to c? where did they travel to? did they travel to c or ibiza?   7  i didn’t find your telephone number. (what? why? )  what didn't i find? why didn't i find your telephone number? 8  in his childhood he was always a leader among his friends. (what? when? who? )  what was he in his childhood? when was he a leader among his friends? who was always a leader among his friends in his childhood? 9  he caught a cold last month. (what? when? why? ) what did he catch? when did he catch a cold? why did he catch a cold?   10  we did our lessons together. (what? how? ) what did we do together? how did we do our lessons?

 Решение
Графиком функции является парабола, ветви которой направлены вверх. 1)      D (f) =R , т.к. f – многочлен. 2)       f(-х) = (-х)2  - 4(-х)  - 5 = х2 + 4х – 5   Функция поменяла знак частично, значит,  f не является ни чётной,  ни нечётной. 3)      Нули функции: При х = 0     у = - 5; (0;-5)  при у = 0      х2 - 4х – 5 = 0 По теореме, обратной теореме Виета х1 = -1; х2 = 5  (-1;0); (5;0). 4)      Найдём производную функции f: f ′(х) = 2х – 4 Найдём критические точки: f ′(х) = 0; 2х – 4 = 0; х = 2 – критическая точка   
                f ′(х)                      -                                           + f (х)                                                                                                2                                                            х
                                                   min               5) Найдём промежутки монотонности: Если функция возрастает, то   f ′(х) > 0 ;  2х – 4  > 0; х > 2. Значит,  на промежутке (2; ∞) функция возрастает. Если функция убывает, то     f ′(х) < 0; 2х – 4 < 0; х < 2. Значит, на промежутке (- ∞; 2)  функция убывает. 6)      Найдём координаты вершины параболы: Х =Y =  22  - 4*2 – 5 = -9 (2;-9) – координаты вершины параболы.  
7) Область изменения функции Е (у) = (-9; ∞)   8)      Построим график функции:   
                             у     
                                                   -1       2       5                                                    -5                                                х