# Classify each function:a) f(x) = log3(x)b) g(x) = root(5)(x)c) h(x)

Classify each function:
a) $$\displaystyle{f{{\left({x}\right)}}}={\log{{3}}}{\left({x}\right)}$$
b) $$\displaystyle{g{{\left({x}\right)}}}={\sqrt[{{5}}]{{{x}}}}$$
c) $$\displaystyle{h}{\left({x}\right)}={2}\frac{{x}^{{3}}}{{{8}–{x}^{{2}}}}$$
d) $$\displaystyle{u}{\left({t}\right)}={1}–{1.1}{t}_{{2.51}}{t}^{{2}}$$
e) $$\displaystyle{v}{\left({t}\right)}={3}^{{t}}$$
f) $$w(\theta) = \sin \theta \cos^6 \theta$$

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insonsipthinye

a) $$\displaystyle{f{{\left({x}\right)}}}={\log{{3}}}{\left({x}\right)}$$ – logarithmic function
b) $$\displaystyle{g{{\left({x}\right)}}}={\sqrt[{{5}}]{{{x}}}}$$ – root function
c) $$\displaystyle{h}{\left({x}\right)}={2}\frac{{x}^{{3}}}{{{8}–{x}^{{2}}}}$$ – rational function
d) $$\displaystyle{u}{\left({t}\right)}={1}–{1.1}{t}_{{2.51}}{t}^{{2}}$$ – polynomial function
e) $$\displaystyle{v}{\left({t}\right)}={3}^{{t}}$$ – power function
f) $$w(\theta)=\sin\theta\cos^{6}\theta$$ – trigonometric function