Let f: R → R be a function defined as\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {5,\;{\rm{if\;}}x \le 1}\\ {a + bx,\;{\rm{if\;}}1 < x < 3}\\ {b + 5x,\;{\rm{if\;}}3 \le x < 5}\\ {30,\;{\rm{if\;}}x \ge 5} \end{array}} \right.\)Then, f is:

Continuous if a = -5 and b = 10

Not continuous for any values of a and b

Let f: R → R be a function defined as\(f\left( x \right) = \left\{ {

1.	Let f: R → R be a function defined as\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {5,\;{\rm{if\;}}x \le 1}\\ {a + bx,\;{\rm{if\;}}1 < x < 3}\\ {b + 5x,\;{\rm{if\;}}3 \le x < 5}\\ {30,\;{\rm{if\;}}x \ge 5} \end{array}} \right.\)Then, f is:
A.	Continuous if a = 5 and b = 5
B.	Continuous if a = -5 and b = 10
C.	Continuous if a = 0 and b = 5
D.	Not continuous for any values of a and b
Answer» E.

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