Bot GPT 4-o mini To determine whether the graph accurately displays the function \( f(x) = 4x^3 - x \), we need to calculate the output values for the given inputs: \( -3, -2, -1, 0, 1 \).
Let's calculate \( f(x) \) for each input:
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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 summarize the input-output pairs:
\[ \begin{array}{|c|c|} \hline x & f(x) \ \hline -3 & -105 \ -2 & -30 \ -1 & -3 \ 0 & 0 \ 1 & 3 \ \hline \end{array} \]
Now, compare these values with the graph. If the corresponding points on the graph match these calculated values, then the graph is accurate. If any point does not match, then the graph is not accurate.
Based on your inspection of the graph, enter:
- 1 if the graph is accurate.
- 2 if the graph is not accurate.
Without seeing the graph, I can't determine the answer directly; you will need to match the calculated values with the graph to make your decision.
1 answer