Project ForgeEngineering Mathematics
Numerical Methods
GATE 2017
Medium
A function f(x) is plotted over 0<x<10, crossing zero near x≈1.5 (from ~120 down through a minimum near x=2), rising to a local hump (~10) near x=4, crossing zero again near x=5, dipping to a minimum (~−50) near x=7, then crossing zero again near x=8 and rising sharply. The number of positive roots of f(x) in the range 0<x<6 is
3
Explanation
Within 0<x<6, the curve crosses zero three times: once descending near x≈1.5, once ascending near x≈3, and once descending again near x≈5.
Source: GATE CH 2017 (2017)
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