To determine whether the graph accurately displays the function \( f(x) = 4x^3 - x \) for the inputs of \(-3\), \(-2\), \(-1\), \(0\), and \(1\), we can calculate the outputs for each of these inputs:
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For \( x = -3 \): \[ f(-3) = 4(-3)^3 - (-3) = 4(-27) + 3 = -108 + 3 = -105 \]
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For \( x = -2 \): \[ f(-2) = 4(-2)^3 - (-2) = 4(-8) + 2 = -32 + 2 = -30 \]
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For \( x = -1 \): \[ f(-1) = 4(-1)^3 - (-1) = 4(-1) + 1 = -4 + 1 = -3 \]
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For \( x = 0 \): \[ f(0) = 4(0)^3 - 0 = 0 \]
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For \( x = 1 \): \[ f(1) = 4(1)^3 - 1 = 4(1) - 1 = 4 - 1 = 3 \]
Now, we can summarize our input-output table: \[ \begin{array}{|c|c|} \hline x & f(x) \ \hline -3 & -105 \ -2 & -30 \ -1 & -3 \ 0 & 0 \ 1 & 3 \ \hline \end{array} \]
Next, we compare these calculated values to the values displayed on the graph. You would need to check the graph for the corresponding \( y \) values at \( x = -3 \), \( -2 \), \( -1 \), \( 0 \), and \( 1 \).
If all the values match the calculated outputs for the function, then the graph is accurate (enter 1). If any value does not match, then the graph is not accurate (enter 2).
Since I don't have access to the image to verify against, you can use this information to decide if the graph matches or not based on the calculations provided.
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