If fx-maxx3-x2-164 - x - -0- then

Given: nbsp;f(x)=max(x^3,x^2,164) ∀ x ∈ [0,∞) Clearly, from the graph nbsp;f(x)=164, amp; 0 ≤ x ≤18 x^2, amp; 18 lt; x ≤ 1 x^3, amp; x gt; 1 ...

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Using Graph to Find Range of a Function

If fx=maxx3,x...

Question

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

f (x) = ⎧ ⎪ ⎪ ⎨ ⎪ ⎪ ⎩ \begin{matrix} x^{2}, & 0 \leq x \leq 1 x^{3}, & x > 1 \end{matrix}

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f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{1}{64}, & 0 \leq x \leq \frac{1}{4} x^{2}, & \frac{1}{4} < x \leq 1 x^{3}, & x > 1 \end{matrix}

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f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{1}{64}, & 0 \leq x \leq \frac{1}{8} x^{2}, & \frac{1}{8} < x \leq 1 x^{3}, & x > 1 \end{matrix}

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f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{1}{64}, & 0 \leq x \leq \frac{1}{8} x^{3}, & x > \frac{1}{8} \end{matrix}

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