If real root of an equation f(x) = 0 lies in interval [a, b] then f(a) . f(b) will be?
- >0
- <0
- =0
- None of these
Explanation
If a real root of f(x) = 0 lies in the interval, then the graph of f(x) must cross the x-axis between a and b.[a][b]
To cross the x-axis:
At one end the function value will be positive, f(a) > 0
At the other end the function value will be negative, f(b) < 0
When signs are opposite, their product is negative.
So f(a) × f(b) < 0
Last verified on 05-06-2026
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