Q75 / 160 · WBJEE 2011 · Mathematics

The function \(f(x)=a x+b\) is strictly increasing for all real \(x\) if

  • Correct answer
    A
    a \( > 0\)
  • B
    a \( < 0\)
  • C
    \(a=0\)
  • D
    \(\mathrm{a} \leq 0\)

Solution

Hints : \(f^{\prime}(x)=a\) \(f^{\prime}(x) > 0 \Rightarrow a > 0\)

Hence, the correct answer is option: 'A'.

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