1.

\({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} { - 1}&{{\rm{if}}}&{{\rm{x}} \le 0}\\ {{\rm{ax}} + {\rm{b}}}&{{\rm{if}}}&{0 < {\rm{x}} < 1}\\ 1&{{\rm{if}}}&{{\rm{x}} \ge 1} \end{array}} \right.\); Where a, b are constants. The function continuous everywhere.What is the value of b?

A. -1
B. 1
C. 0
D. 2
Answer» B. 1


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