Trigonometric function Power function Algebraic function Rational function Exponential function Polynomial function of degree 2 Logarithmic function Root function
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(e) v(t) = 5^t power function logarithmic function exponential function trigonometric function root function (f) w(θ) = sin θ cos^6 θ root function rational function trigonometric function exponential function power function polynomial function of degree 2 algebraic function logarithmic function
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Classify each function as a power function, root function. polynomial (state its degree). rational function. algebraic function. crigonometric function, exponential function, or logarithmic function. (a) $f(x)=\log _{2} x$ (b) $g(x)=\sqrt[4]{x}$ (c) $h(x)=\frac{2 x^{3}}{1-x^{2}}$ (d) $u(t)=1-1.1 t+2.54 t^{2}$ (e) $v(t)=5^{\prime}$ (f) $w(\theta)=\sin \theta \cos ^{2} \theta$
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Mathematical Models. A Catalog of Essential Functions
$1-2$ Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function. $${ (a) } f(x)=\log _{2} x \quad \text { (b) } g(x)=\sqrt[4]{x}$$ $$ { (c) } h(x)=\frac{2 x^{3}}{1-x^{2}} \quad \text { (d) } u(t)=1-1.1 t+2.54 t^{2}$$ $$ { (e) }v(t)=5^{t} \quad \text { (f) } w(\theta)=\sin \theta \cos ^{2} \theta$$
Mathematical Models: A Catalog of Essential Functions
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