Subjects algebra

Function Table 666623

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1. The problem is to complete the function table for the function defined by $y = x + 7$. 2. The table columns are $x$, $x + 7$, $y$, and $(x, y)$, where $y$ is the value of the function at $x$ and $(x, y)$ is the ordered pair. 3. For $x=0$, $x + 7 = 0 + 7 = 7$, so $y=7$ and the ordered pair is $(0, 7)$. 4. For $x=1$, $x + 7 = 1 + 7 = 8$, so $y=8$ and the ordered pair is $(1, 8)$. 5. For $x=2$, $x + 7 = 2 + 7 = 9$, so $y=9$ and the ordered pair is $(2, 9)$. 6. Filling the table: | $x$ | $x + 7$ | $y$ | $(x, y)$ | |-----|---------|-----|----------| | 0 | 7 | 7 | (0, 7) | | 1 | 8 | 8 | (1, 8) | | 2 | 9 | 9 | (2, 9) | 7. The function is linear with slope 1 and y-intercept 7. Final answer: The completed table is as above with ordered pairs $(0,7)$, $(1,8)$, and $(2,9)$.