Finel the ralves of a anel b such that the functionav5-x tb-1 1t メト0円Hax Cos (TT/x) if OLX L39+1+ blxープ)Ca) =ifx3-4x²+3xメラ3IS Continues

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Finel the ralves of a anel b such that the function
av5-x tb-1 1t メト0円
Hax Cos (TT/x) if OLX L3
9+1+ blxープ)
Ca) =
if
x3-4x²+3x
メラ3
IS Continues

Expert Solution

Step 1

Note:

There is an error in question, for the given function $a$ has 2 values but it cannot be possible because it is a constant.

Correct equation should be:

$f (x) = \{\begin{cases} a (5 - x) + b - 1 & if x \leq 0 & \dots \dots (1) \\ 4 a x \cos (\frac{π}{x}) & if 0 < x \leq 3 & \dots \dots (2) \\ a + 1 + \frac{b (x^{2} - 7)}{x^{3} - 4 x^{2} + 3 x} & if x > 3 & \dots \dots (3) \end{cases}$

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