To determine if the graph accurately displays the function \( f(x) = 4x^3 - x \), we need to calculate \( f(x) \) for the given inputs \( -3, -2, -1, 0, \) and \( 1 \).
Let's compute the function values:
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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 have the following function values:
- \( f(-3) = -105 \)
- \( f(-2) = -30 \)
- \( f(-1) = -3 \)
- \( f(0) = 0 \)
- \( f(1) = 3 \)
Next, we compare these values with the corresponding points on the graph. Without seeing the graph, we cannot definitively conclude about its accuracy.
However, if you checked the points on the graph and they match the values calculated above, you would enter 1 (for accurate). If they do not match, you would enter 2 (for not accurate).
Please check the graph against these points and decide accordingly.