Graphical Concepts 1

y-int ? x-int ? y=0 ? x=0 ? x-int @ x= y-int @ y= (m,0) (0,n) f(0)= f(j)= (0,k) (j,0) x-int: e+f =y-int: y = a 2 c e (m,n) f LoS: (-e) x (-f) = f(m) = concave e (m,n) c f T.P.= concave y = a ^{2}c x y 0 p ? ? ? ? ? ? 0 x y c k (p,q) k a 0 p+a ? ? q k e x y e n c (p,q) 0 q m m 0 f x y 0 1 ? ? 1 y=b ^{x}1 x y 0 1 ? ? y=a(b ^{x})1 -1 1 y=b ^{x}^{-1}m x n = y= ^{a}/_{x}n m n g(a)= f(0)= f(a)= g(x) =g(0) f(x)=origin=g(x) ? f(x) k f(x)=g(x) ? a g(x) f(x) g(x)=f ⇨ x= f(x)=b ⇨ x= (a,b) d c f(0)= (e,f) f(x)=g(x) for x= g(0)= x= g(x) f(x) x a e 0 e j b f(a) k c g(b) d j j f(x) g(x) |

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