Graph the piecewise-defined functions:
f(x) = { x+3 if x < 0
-2x-3 if x ≥ 0
f(x) = { x+3 if x < 0 ..........(i)
and -2x-3 if x ≥ 0 ..........(ii)
in (i) case if x<0
y = x+3 which is a st line having slope 1 and y intercept is +3.................(iii)
in (ii) case
y = -2x-3 is a st line having slope -2 and y intercept is -3 ...............(iv)
Therefore function is not continous there is break at zero ................Ans
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f(x) = { x+3 if x < 0 ..........(i)
and -2x-3 if x ≥ 0 ..........(ii)
in (i) case if x<0
y = x+3 which is a st line having slope 1 and y intercept is +3.................(iii)
in (ii) case
y = -2x-3 is a st line having slope -2 and y intercept is -3 ...............(iv)
Therefore function is not continous there is break at zero ................Ans