Let $A=\{x \in R, x
eq 0,-4 \leq x \leq 4\} \quad$ and $f: A ightarrow R$ defined by $f(x)=\frac{|x|}{x}$ for $x \in A$. Then, the range of $f$ is

Question

Let $A=\{x \in R, x 
eq 0,-4 \leq x \leq 4\} \quad$ and $f: A ightarrow R$ defined by $f(x)=\frac{|x|}{x}$ for $x \in A$. Then, the range of $f$ is

Aicharya · Accepted Answer

Since, $x$ lies between -4 and 4 and $f(x)=\frac{|x|}{x}$, then $f(x)$, is either $-\frac{x}{x}$ or $\frac{x}{x}$ as $x < 0$ or $x \geq 0$ $	herefore f(x)$, is either -1 or 1 $ 	herefore \quad R=\{1,-1\} $

Let $A=\{x \in R, x \neq 0,-4 \leq x \leq 4\} \quad$ and $f: A \rightarrow R$ defined by…

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