To determine whether the graph accurately displays the function \( f(x) = 2x + 12 \), we can create an input-output table using the given inputs of \(-20\), \(-10\), \(0\), \(10\), and \(20\). We will then compute the output for each input.
Input-Output Table:
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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 \( x = 20 \): \[ f(20) = 2(20) + 12 = 40 + 12 = 52 \]
Resulting Input-Output Table:
| \( x \) | \( f(x) \) | |----------|-------------| | \(-20\) | \(-28\) | | \(-10\) | \(-8\) | | \(0\) | \(12\) | | \(10\) | \(32\) | | \(20\) | \(52\) |
Conclusion:
You would need to check the graph to see if it correctly matches these output values for the corresponding x-values.
- If the graph matches all the output values from the table, you would enter 1 for accurate.
- If there is any discrepancy in the output values, you would enter 2 for not accurate.
If you have access to the graph, compare the points to see if it correctly represents the function.
11 answers