# Classify each function:a) f(x) = log4(x)b) g(x) = root(5)(x)Z

Classify each function:
a) $f\left(x\right)=\mathrm{log}4\left(x\right)$
b) $g\left(x\right)=\sqrt[5]{x}$
c) $h\left(x\right)=2\frac{{x}^{3}}{9–{x}^{2}}$
d) $u\left(t\right)=1–1.1{t}_{2.52}{t}^{2}$
e) $v\left(t\right)={3}^{t}$
f) $w\left(\theta \right)=\mathrm{sin}\theta {\mathrm{cos}}^{7}\theta$

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Benedict

a) $f\left(x\right)=\mathrm{log}4\left(x\right)$ – logarithmic function
b) $g\left(x\right)=\sqrt[5]{x}$ – root function
c) $h\left(x\right)=2\frac{{x}^{3}}{9–{x}^{2}}$ – rational function
d) $u\left(t\right)=1–1.1{t}_{2.52}{t}^{2}$ – polynomial function
e) $v\left(t\right)={3}^{t}$ – power function
f) $w\left(\theta \right)=\mathrm{sin}\theta {\mathrm{cos}}^{7}\theta$ - trigonometric function

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