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The function f(x) = ax + b is strictly increasing for all real x if
  • a)
    a > 0
  • b)
    a < 0
  • c)
    a = 0
  • d)
    a ≤ 0
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The function f(x) = ax + b is strictly increasing for all real x ifa)a...
As the derivative of the given function is = a,
we have to equate it to zero,it does conclude that the given expression has only one zero that is at (a)..
so the value of (a) should always be greater than zero to satisfy the condition..
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Community Answer
The function f(x) = ax + b is strictly increasing for all real x ifa)a...
The correct answer is a) a > 0 and b = 0.

When a > 0 and b = 0, the function f(x) = ax is a linear function with a positive slope. This means that as x increases, the value of f(x) also increases. Therefore, the function is strictly increasing for all real x in this case.
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