If $$f(x)=maximum$$⁡$$x3$$,$$x2$$,$$164$$∀x∈[$$0$$,∞$$)$$, then

Correct option is 3f(x)=164,0≤x≤18x2,18 1

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$If f (x) = maximum \{x^{3}, x^{2}, \frac{1}{64}\} \forall x \in [0, \infty), then$

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f(x)=x2,0≤x≤1x3,x>1

f(x)=164,0≤x≤14x2,141

f(x)=164,0≤x≤18x2,181

f(x)=164,0≤x≤18x3,x>1/8

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detailed solution

Correct option is C

Clearly, from the graph, f(x)=164, 0≤x≤18x2, 181

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If f(x)=maximum⁡x3,x2,164∀x∈[0,∞), then

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$If f (x) = maximum \{x^{3}, x^{2}, \frac{1}{64}\} \forall x \in [0, \infty), then$