Math 1 · Unit 2 · Lesson 1 · part 5 of 8

Tables: two ways of writing the same thing

Take the rule y = x + 3, which is the same as f(x) = x + 3.

Tables: two ways of writing the same thing

Take the rule y = x + 3, which is the same as f(x) = x + 3. Pick some x values, feed each one in, and write what comes out. Here is the same table written both ways. Every row is a point.

Written with x and y
xy = x + 3point
−30(−3, 0)
−12(−1, 2)
03(0, 3)
25(2, 5)
Written with x and f(x)
xf(x) = x + 3point
−3f(−3) = 0(−3, 0)
−1f(−1) = 2(−1, 2)
0f(0) = 3(0, 3)
2f(2) = 5(2, 5)
Check a table with a spreadsheet.
  1. Type the x values down column A: -3 in A1, -1 in A2, 0 in A3, 2 in A4.
  2. In B1 type =A1+3 and press Enter.
  3. Click B1, grab the little square in its corner, and drag it down to B4. The formula copies, and column B fills with the outputs. Column A is your x, column B is your y. Each row is a point.
  4. Use this trick to check any table in this lesson. Just change the formula in B1 to match the rule.

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