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Consider the real function f:RtoR, defin...

Consider the real function `f:RtoR`, defined by
`f(x)={{:(1-x",""when "xlt0),(1",""when "x=0),(x+1",""when "xgt0):}`
Write its domain and range. Also, draw the graph of f(x).

Text Solution

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`xlt0impliesy=1-x`.
`x=1impliesy=1`.
`xgt1impliesy=x+1`.


On a garph paper, draw horizontal line X' OX and the vertical line YOY'. Now, plot the points A(-3,4), B(-2,3), C(-1,2), D(0,1), E(1,2), F(2,3) and G(3,4).
Join ABCD and DEFG to get the required graph.
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