Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Review - Concept Check: 6

Answer

(a) $f(x)=2x+1$ (b) $f(x) = x^4$ (c) $f(x)=3^x$ (d) $f(x) =-x^2+3x-4$ (e) $f(x) =3x^5+x^2-3$ (f) $f(x)=\frac{2x^4+3x^3+4}{1-x^2}$

Work Step by Step

(a) This function is of the general form of $f(x)=ax+b$ where $a$ and $b$ are real constants (b) This function is of the form of $f(x)=x^a$ where $a$ is a real constant. (c) This function is of the form of $f(x)=b^x$ where $b>0$ and $b\neq 1$. (d) This function is of the form of $f(x) = ax^2+bx+c$ where $a,b$ and $c$ are constants (e) This function is of the form of $f(x)=a_nx^n+a_{n-1}x^{n-1}+\ldots a_1x+a_0$, where $n$ is nonnegative integer, $a_0,a_1,\ldots a_n$ are real constants. (f) This function is a ratio of two polynomials.
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