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Yuna is asked to find the minimum value of the function shown.Which shows the function Yuna created and the minimum value of this function?

Question

Yuna is asked to find the minimum value of the function shown.

Which shows the function Yuna created and the minimum value of this function?

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Solution

To analyze the minimum value of a function, we can follow a systematic approach. However, since the specific function that Yuna created is not provided in your question, I will outline the general steps for you to determine the minimum value of a function.

  1. Break Down the Problem

    • Identify the function f(x) f(x) that Yuna created.
    • Determine if it's a quadratic function, polynomial, or any other type.
  2. Relevant Concepts

    • If the function is quadratic (e.g., f(x)=ax2+bx+c f(x) = ax^2 + bx + c ), the minimum value can be found using the formula for the vertex x=b2a x = -\frac{b}{2a} .
    • For other types of functions, consider taking the derivative f(x) f'(x) and finding critical points by solving f(x)=0 f'(x) = 0 .
  3. Analysis and Detail

    • Once the critical points are found, evaluate the second derivative f(x) f''(x) at those points to confirm whether they are minima (if f(x)>0 f''(x) > 0 ) or maxima.
    • Substitute the critical points back into the original function to determine the minimum values.
  4. Verify and Summarize

    • Ensure all calculations are double-checked.
    • Compare the values found at critical points to ensure the smallest value is identified.

Final Answer

If you provide the specific function, I can help you calculate the minimum value step-by-step according to the aforementioned process.

This problem has been solved

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