What is the domain and range of $f (x) =10^x$ ?

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Answer 1 · 2018-07-12T22:08:49

$x\in(-\infty, \infty)$ & $f(x)\in (0, \infty)$

For the given function: $f(x)=10^x$

$LHL=RHL=f(x)$

i.e. $f(x)=10^x$ is continuous everywhere hence its domain the set of real numbers i.e.

$x\in\mathbb R$ or $x\in (-\infty, \infty)$

Now, range of function is determined as

$\lim_{x\to -\infty}f(x)=\lim_{x\to -\infty}10^x=0$

$\lim_{x\to \infty}f(x)=\lim_{x\to \infty}10^x=\infty$

hence the range of function $f(x)=10^x$ is $(0, \infty)$

What is the domain and range of f (x) =10^x f (x) =10^x?