Questions: Test 7: Functions Question 9 of 25 (1 point) Question Attempt: 1 of 1 Fill in the table using this function rule. f(x)=2 √x Simplify your answers as much as possible. Click "Not a real number" if applicable. x f(x) -4 0 9 81

Test 7: Functions Question 9 of 25 (1 point) Question Attempt: 1 of 1 Fill in the table using this function rule. f(x)=2 √x Simplify your answers as much as possible. Click "Not a real number" if applicable. x f(x) -4 0 9 81
Transcript text: Test 7: Functions Question 9 of $\mathbf{2 5}$ (1 point) | Question Attempt: 1 of 1 Fill in the table using this function rule. \[ f(x)=2 \sqrt{x} \] Simplify your answers as much as possible. Click "Not a real number" if applicable. \begin{tabular}{|c|c|} \hline$x$ & $f(x)$ \\ \hline-4 & $\square$ \\ \hline 0 & $\square$ \\ \hline 9 & $\square$ \\ \hline 81 & $\square$ \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Evaluate \( f(x) \) for \( x = -4 \)

The function given is \( f(x) = 2\sqrt{x} \). For \( x = -4 \): \[ f(-4) = 2\sqrt{-4} \] Since the square root of a negative number is not a real number, \( f(-4) \) is not a real number.

Step 2: Evaluate \( f(x) \) for \( x = 0 \)

For \( x = 0 \): \[ f(0) = 2\sqrt{0} = 2 \times 0 = 0 \]

Step 3: Evaluate \( f(x) \) for \( x = 9 \)

For \( x = 9 \): \[ f(9) = 2\sqrt{9} = 2 \times 3 = 6 \]

Step 4: Evaluate \( f(x) \) for \( x = 81 \)

For \( x = 81 \): \[ f(81) = 2\sqrt{81} = 2 \times 9 = 18 \]

Final Answer

  • \( f(-4) \): Not a real number
  • \( f(0) \): 0
  • \( f(9) \): 6
  • \( f(81) \): 18
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