Maxima & Minima Explained Visually | First & Second Derivative Concept #maths #calculus

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

find domain and range | class 11 maths | functions class 11 #algebra #mathematics

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

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)/

प्रतिलोम त्रिकोणमितीय फलन| Class 12 Math Chapter 2 One Shot |Inverse Trigonometric Function Revision

Q) Show that 𝑓:𝑅_+→[−5,∞) given by 𝑓(𝑥)=4𝑥^2+4𝑥−5 is both one-one and onto where 𝑅_+=[0,∞).

Given a non-empty set X, define the relation R in P(X)as follow: For A, B ∈ 𝑃(X), (A, B) ∈ R iff A