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

Q) Domain of 𝑠𝑖𝑛^(−1) (2𝑥^2−3) is (A) (−1,0)∪(1,√2)(B) (−√2,−1)∪(0,1)(C) [−√2,−1]∪[1,√2](D) (−

Q) Let f:A→B be defined by f(x)=(x−2)/(x−3), where A=R−{3} and B=R−{1}. Discuss the biject

Q) Let A = R – {5} and B = R – {1}. Consider the function f: A → B, defined by f(x) = (𝑥−3)/

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) The following graph represents (A) 𝑦=cos^(−1) 𝑥 (B) 𝑦=sec^(−1) 𝑥 (C) 𝑦=sin^(−1) 𝑥 (D)

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

Q) Check whether the relation S in the set ℝ of real number, defined as S={(a,b):a≤b^2 } is reflexiv