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Question
the equation y = 2x - 1 represents a function. use the function rule to complete the table. input (x) output (y) -1 -3 0 1? 2?
Step1: Substitute \( x = 0 \) into \( y = 2x - 1 \)
\( y = 2(0) - 1 = 0 - 1 = -1 \)
Step2: Substitute \( x = 1 \) into \( y = 2x - 1 \)
\( y = 2(1) - 1 = 2 - 1 = 1 \)
Step3: Substitute \( x = 2 \) into \( y = 2x - 1 \)
\( y = 2(2) - 1 = 4 - 1 = 3 \)
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For \( x = 0 \), \( y = -1 \); for \( x = 1 \), \( y = 1 \); for \( x = 2 \), \( y = 3 \)
So the completed table (filling the blanks) is:
| Input (\( x \)) | Output (\( y \)) |
|---|---|
| 0 | -1 |
| 1 | 1 |
| 2 | 3 |