Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsDomain-RangeEasy2 minQB

MathematicsEasysingle choice

The image of the interval [-1, 3] under the mapping specified by the function $f (x) = 4 x^{3} - 12 x$ IS

Answer:

Solution:

$f (x) = 4 x (x^{2} - 3)$

$f^{'} (x) = 12 x^{2} - 12 = 0$

or $x = \pm 1$

$f (x) \in [f (1), max (f (- 1), f (3))] = [- 8, 72]$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: QB

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