Question
Download Solution PDFThe function f(x) = x2 + 2x - 5 is strictly increasing in the interval:
Answer (Detailed Solution Below)
Option 4 : (-1, ∞)
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Detailed Solution
Download Solution PDFConcept:
For a function y = f(x):
- At the points of local maxima or minima, f'(x) = 0.
- In the regions where f(x) is increasing, f'(x) > 0.
- In the regions where f(x) is decreasing, f'(x) < 0.
Calculation:
For the function f(x) = x2 + 2x - 5 to be strictly increasing, f'(x) > 0.
⇒ f'(x) = 2x + 2 > 0
⇒ x > -1
⇒ x ∈ (-1, ∞).
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