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Limits Continuity and Differentiability question

2019 · 9 Jan · Shift 1 · Q38
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  5. /2019 · 9 Jan · Shift 1 · Q38

Limits Continuity and Differentiability question

2019 · 9 Jan · Shift 1 · Q38

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
Let f : R →\to→ R be a function defined as f(x)={5;x≤1a+bx;1<x<3b+5x;3≤x<530;x≥5f(x) = \left\{ {\begin{matrix} 5 & ; & {x \le 1} \\ {a + bx} & ; & {1 \lt x \lt 3} \\ {b + 5x} & ; & {3 \le x \lt 5} \\ {30} & ; & {x \ge 5} \\ \end{matrix} } \right.f(x)=⎩⎨⎧​5a+bxb+5x30​;;;;​x≤11<x<33≤x<5x≥5​ Then, f is
  1. A
    continuous if a = 0 and b = 5
  2. B
    continuous if a = –5 and b = 10
  3. C
    continuous if a = 5 and b = 5
  4. D
    not continuous for any values of a and b
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