Draw the graph of the function `f(x)={{:(x^(2)",", " when ", xlt0),(x",", " when " , 0le x le1),(1//x",", " when " , 1 le x lt oo.):} `

Find the domain and range of the function: f(x) = {(x^(2),"when " x lt 0),(x,"when " 0 le x le 1),((1)/(x),"when " x gt 1):}

Draw the graph of the function f(x ) = {{:(1+x , -1 le x le 0),( 1-x, 0 lt x le 1):}

Draw the graph of the function: f(x) = {(x," if " x le 0),(x^(2)," if " 0 lt x le 2),(x," if " x gt 2):}

Draw the graph of the function: f(x) = |1-x| + |1+x|, -2 le x le 2

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.

If f (x) ={{:(x",", "when " 0 lt x lt 1),(2-x",", "when" 1 lt x le 2):} then f'(1) is equal to-

If f(x) = {(1+x^(2),",", "when"0 le x lt 1),(1-x,",","when"x gt 1):} , then

If f(x) = {(1+x^(2),",", "when"0 le x lt 1),(1-x,",","when"x gt 1):} , then

If f(x)={(x,"when "0le x le 1),(2x-1,"when "x gt 1):} then -

If f(x)={(x,"when "0le x le 1),(2x-1,"when "x gt 1):} then -