find the values of the constants a and/or b needed to make the following functions continuous for all real numbers xpiecewise f(x) = x^-1, x < -1, ax+b, -1 less than or equal to x less than or equal to 1/2, x^-1, if x > 1/2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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find the values of the constants a and/or b needed to make the following functions continuous for all real numbers x

piecewise f(x) = x^-1, x < -1, ax+b, -1 less than or equal to x less than or equal to 1/2, x^-1, if x > 1/2

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