The function f is defined by `f(x)={(,1-x,x lt 0),(,1,x=0),(,x+1,x gt 0):}`
Draw the graph of f(x).

If f(x)={(x^3, x gt 0),(0, x=0),(-x^3, x lt0):}

A function is defined as f(x) = {(e^x, xle0),(|x-1|, x gt0):} , then f(x) is

Discuss the continuity of the function f, where f is defined by f(x)={{:(2x," if "x lt 0),(0," if "0 le x le 1),(4x," if "x gt 1):} .

Let f(x) be a polynomial of degree one and f(x) be a function defined by f(x)={(g(x), x le0), ((1+x)/(2+x)^(1//x), x gt0):} If f(x) is continuous at x=0 and f(-1)=f'(1), then g(x) is equal to :

Let g(x)=1+x-[x] and f(x)=={(-1, x lt0),(0, x=0),(1, x gt 0):} Then for all x find f(g(x))

Find all the points of discontinuity of the function f defined by {{:(x+2," if "x lt 1),(0," if "x=1),(x-2," if "x gt 1):} .

Sketch the graph of the function : " "y=f(x)={:{(-x",", "when "x le 0),(x",", "when "x gt0):} From the graph examine the continuity of f(x) at x = 0.

Discuss the continuity of the function f, where f is defined by f(x)={{:(-2," if "x le -1),(2x," if "-1 lt x le 1),(2," if "x gt 1):} .

Is the function defined by f(x)={{:(x+5," if "x le1),(x-5," if "x gt 1):} a continuous function?

Is the function f defined by {{:(x," if "x le 1),(5," if "x gt 1):} continuous at x= 0? At x=1? At x=2?.