To determine whether the graph accurately displays the function \( f(x) = 2x + 12 \), we can calculate the output for each input value given in the table using the function.
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For \( x = -20 \): \[ f(-20) = 2(-20) + 12 = -40 + 12 = -28 \]
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For \( x = -10 \): \[ f(-10) = 2(-10) + 12 = -20 + 12 = -8 \]
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For \( x = 0 \): \[ f(0) = 2(0) + 12 = 0 + 12 = 12 \]
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For \( x = 10 \): \[ f(10) = 2(10) + 12 = 20 + 12 = 32 \]
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For \( x = 20 \): \[ f(20) = 2(20) + 12 = 40 + 12 = 52 \]
Now we have the input-output pairs:
- \( (-20, -28) \)
- \( (-10, -8) \)
- \( (0, 12) \)
- \( (10, 32) \)
- \( (20, 52) \)
Next, we would compare these output values with the corresponding points plotted on the graph to check for accuracy. However, since I do not have access to the image to verify whether the graph matches these calculated outputs, I cannot definitively say if the graph is accurate.
If the graph represents the values we calculated, enter 1. If it does not, enter 2. Please check the graph against the output values listed above to decide.
11 answers