The domain and range for the function $f(x)=e^{|x| \sin x}$ are domain $=$ IR
The domain and range for the function $f(x)=e^{|x| \sin x}$ are domain $=$ IR
range $=[0, \infty)$ domain $=$ IR
range $=[1, \infty)$ domain $=$ IR
range $=$ IR domain $=I R$
range $=(0, \infty)$
Solution
$f(x)=e^{|x| \sin x}$ is defined every where
Hence domain of $f(x)$ is $R$
$\begin{aligned}
& \therefore-\infty < |x| \sin x < \infty . \\
& \Rightarrow 0 < e^{|x| \sin x} < \infty \\
& \Rightarrow \text { Range of } f(x) \text { is }(0, \infty)
\end{aligned}$