Is the function f defined by fx - - x-if x - 1- 5-if x - 1 -continuous at x-0- At x-1- At x-2-

Continuous at x=0 LHL=RHL=0 discontinuous at x=1 [RHL=5] [LHL=1] and continuous at x=2 LHL=RHL=5 ...

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Writing Rational Numbers as Decimals

Is the functi...

Question

Is the function $f$ defined by
$f (x) = {\begin{matrix} x, i f x \leq 1 5, i f x > 1 \end{matrix}$
continuous at $x = 0 ?$ At $x = 1 ?$ At $x = 2 ?$

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f

f (x) =

{\begin{matrix} x, i f x \leq 1 5, i f x > 1 \end{matrix}

x = 0

x = 1

x = 2

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f (x) = {\begin{matrix} x + 2, i f x \leq 1 x - 2, i f x > 1 \end{matrix}

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f (x) = ⎧ ⎨ ⎩ \begin{matrix} - 2, i f x \leq - 1 2 x, i f - 1 \leq x \leq 1 2, i f x > 1 \end{matrix}

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