Notes Essencials de Gramàtica Anglesa i Funcions Matemàtiques

Form (future perfect simple)

PERSON + WILL+ HAVE+ PAST PARTICIPLE + COMPLEMENT

(+) SUBJECT + WILL +HAVE + LEFT + by the time we arrive 

(-) SUBJECT + WON’T/ WILL NOT + HAVE + LEFT + by the time we arrive

(?) WILL + SUBJECT + HAVE + LEFT + by the time we arrive?  Time expresions: by the time, by the end of the week, by 3 o’clock, in 3 months

Form (future continuous)

(PERSON+ WILL BE+ VERB + ING + COMPLEMENT)

(+)I/YOU/HE/SHE/IT/WE/YOU/THEY WILL BE SLEEPING in a hotel                                     (-)I/YOU/HE/SHE/IT/WE/YOU/THEY WON’T/ WILL BE SLEEPING in a hotel                     (?) WILL I/YOU/HE/SHE/IT/WE/YOU/THEY  BE SLEEPING in a hotel?

TIME EXPRESSIONS: at this time tomorrow, next…, on Thursday, tomorrow.

Relatives Clauses

Who r that (qui) -   Which or that (objecte)

Whose (pertenencia,de qui)  -   Whom(qui formal)

Where (a on). - When (quan). - Why (pq)

Defining 

- can use THAT

- gave information wee need

- can be omitted (poden omitir-se)

Non-Defining

- They go with (,) before and after saying the extra information 

- NO es pot utilitzar THAT (prohibit),es fan servir les Clauses de adalt

- They cannot be omitted

(examples)

Quadràtiques Y=x²-2x +3

1-trobar vèrtex(x=-b/2a) 2-p.Tall am eixos (0,3);

Eix X= (y=0) x² - 2x+3.  Eix Y= (x=0) Y= 0² -2·0+3=3    3- T.Valors4- dibuixar

Radicals Y= arrel de x-2 i dp +1

1- trobar domini; ex: X-2<0; X<2= domini f(x)= [2,+infinit] 2- T.Valors  3- dibuixar

Inverses Y= (2/1+x )+2   2(asímptota horitzontal)

1- asímptota vertical(1+x) i horitzontal. 2- T.Valors (s'utilitza l valor q et surt abans i els 2 primer nums + 0'5 i dp +1) 3- dibuixar             Exponencials Y=2^x+1

1- desplaçaments (asímptota vertical Y=1)

2- T.Valor (sempre es posa al mig 1 i 0)  

Logarítmiques Y=log₂(x+1) 

1- Domini f(x) ; X+1<0; X>-1; domini f(x)= [-1,+infinit].  2-T.Valors. 3- dibuixar