Draw the curve of fx- x - - if x- 0 x 0- if x-0 and find the range and domain of fx-

Domain is R #160;and range is 1,0,1 ...

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Definition of Function

Draw the curv...

Question

Draw the curve of $f (x) = ⎧ ⎨ ⎩ \begin{matrix} | x |, i f x \neq 0 x 0, i f x = 0 \end{matrix}$ and find the range and domain of f(x).

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Solution

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f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{3}{3^{x^{2} + 1}}, & i f x \geq 0 5 x + 3, & i f x < 0 \end{matrix}

f (x) = {\begin{matrix} (x^{2} - 9) / (x - 3), i f x \neq 3 6, i f x = 3 \end{matrix}

f (x) = \begin{matrix} = \frac{sin a x}{2 x} + b, i f x < 0 = 5, i f x = 0 = 2 a x + b, i f x > 0 \end{matrix}

x = 0

a

b

f(x) = ${\begin{matrix} \frac{x}{| x |}, i f x < 0 - 1, i f x \geq 0 \end{matrix}$

f (x) = ⎧ ⎨ ⎩ \begin{matrix} - 1 & , i f x < 0 0 & , i f x = 0 1 & , i f x > 0 \end{matrix}

f (x)

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