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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) $ y = \pi^x $ (b) $ y = x^\pi $ (c) $ y = x^2 (2 - x^3) $ (d) $ y = \tan t - \cos t $ (e) $ y = \frac{s}{1 + s} $ (f) $ y = \frac{\sqrt {x^3 - 1}}{1 + \sqrt[3]{x}} $

a. Exponential functionb. Power function.c. Polynomial functiond. Trigonometric functione. Rational function.f. Algebraic function

02:27

Jeffrey P.

01:39

Heather Z.

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 2

Mathematical Models: A Catalog of Essential Functions

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Usman K.

October 19, 2020

f(t) = 1 ? 1.1t + 2.54t 2

Missouri State University

Campbell University

University of Nottingham

Idaho State University

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For the problem given to us here, we want to classify each function as a power function route function polynomial and states degree. So in this case we see that the first one is going to be Y equals pi the X. So part of the X is an exponential function. Um That's exponential but then acts to the pie as a power function. And then if we have X squared times two minus X cubed, that's a polynomial function. Tangent, T is co sign key. That's going to be a trigger geometric function. E is S over one plus S rational function difficult. And then lastly we have root X cubed minus 1/1 plus cube root of X. And that's going to be an algebraic function. Those are final answers.

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