Answered: S2x + 1, x < 0 l2x + 2, x 2 0 f(x) =

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter6: Fractions

Section6.1: Simplifying Fractions

Problem 31WE

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Evaluate the function at the given value(s) of the independent variable. Then find the domain and range. (a) f(−1) (b) f(0) (c) f(2) d) f(t2 + 1)

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Given,

a).

$\begin{array}{rcl} f (- 1) & = & 2 (- 1) + 1 [∵ f (x) = 2 x + 1 w h e n x < 0] \\ = & - 2 + 1 \\ = & - 1 \end{array}$

b).

$\begin{array}{rcl} f (0) & = & 2 (0) + 2 [∵ f (x) = 2 x + 2 w h e n x \geq 0] \\ = & 0 + 2 \\ = & 2 \end{array}$

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