To fill in the table using the function rule \( y = 10x + 1 \), we will substitute the values of \( x \) into the equation to find the corresponding \( y \) values.
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For \( x = -5 \): \[ y = 10(-5) + 1 = -50 + 1 = -49 \]
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For \( x = -1 \): \[ y = 10(-1) + 1 = -10 + 1 = -9 \]
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For \( x = 0 \): \[ y = 10(0) + 1 = 0 + 1 = 1 \]
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For \( x = 1 \): \[ y = 10(1) + 1 = 10 + 1 = 11 \]
Now we can fill in the table:
| x | y | |-----|-----| | -5 | -49 | | -1 | -9 | | 0 | 1 | | 1 | 11 |