Mathematics ( Functions ; Hyperbole ; Vertical and Horizontal asymptotes; Grade 10/11/12 ) #mathematics #grade10 #functions #hyperbole #asymptote

Q) Let f: 𝑅_+ → [-5, ∞) be defined as f(x) = 〖9𝑥〗^2+6𝑥−5, where 𝑅_+ is the set of al non-negat

Q) Show that a function 𝑓:𝑅_+→𝐴⊂𝑁, defined as 𝑓(𝑥)=4𝑥^2+12𝑥+15 is one-one. Find gset 𝐴

Q) A function 𝑓:𝑅−{3/5}⟶𝑅−{3/5} is defined as 𝑓(𝑥)=(3𝑥+2)/(5𝑥−3). Show that 𝑓 is one-

Q) Show that a function f: R → R defined by f(x) = 2𝑥/(1+𝑥^2 ) is neither one-one nor onto.

If 𝑦=𝑠𝑖𝑛^(−1) 𝑥,−1≤𝑥≤0,then the range of 𝑦 is(A) ((−𝜋)/2,0)(B) [(−𝜋)/2,0](C) [(−𝜋)/2,0