Graph of Logarithmic function when `0lt base lt1`

Graph of Logarithmic function when 0< base <1

Graph of Logarithmic function when base >1

Graph of Exponential function for 0< base <1

Logarithmic function and graph ( case 1 - base >1 and Case 2- base <1)

Statement -1: 0 lt x lt y rArr "log"_(a) x gt "log"_(a) y,"where" 0 lt a lt 1 Statement-2: "log"_(a) x is a decreasing function when 0 lt a lt 1.

Statement -1: 0 lt x lt y rArr "log"_(a) x gt "log"_(a) y,"where" 0 lt a lt 1 Statement-2: "log"_(a) x is a decreasing function when 0 lt a lt 1.

Draw the graphs of the logaritmic functhmic functions. (i) log_(a)x , " when a gt 1 (ii) log_(a)x, " when " 0 lt a lt 1

Sketch the graph of the function : f(x)=0," when "x lt1 =x-1," when "x ge1 From the graph examine whether f(x) is continuous at x =1 or not.

A function f(x) is defined as follows : f(x)=-x," when "x lt0 =2," when "0 lex lt2 =4-x," when "x ge2 Draw the graph of the function and from the graph examine whether f(x) is continuous at x = 0 and x = 2 or not.

Without using graph paper draw the graph of the following function : g(x)=x," when " x lt 0 =x^2," when " 0 le x le 1 1, " when " x gt 1 Examine the continuity of g(x) at x = 0 and x = 1 from the graph.