INPUT OUTPUT FUNCTION TABLES SHEET 4C - Write formulas and fill missing outputs

Oct 22, 2026

Uploaded by Bintang

INPUT OUTPUT FUNCTION TABLES SHEET 4C asks students to write the formula f(x) that matches each given function table. For multiple tables, the work includes identifying relationships between the input x values and the output f(x) values, then expressing each rule as an equation. The sheet also requires filling in any missing outputs in several tables, including those using fractional outputs and linear patterns.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Function Table Rules

Matching f(x) to each table

Filling in missing outputs

Name Date INPUT OUTPUT FUNCTION TABLES SHEET 4C Write down the formula for f(x) for each of these function tables. Fill in any missing values off(x). 1) f(x) = 2) f(x) = 3) f(x) = | x | f(x) | | --- | --- | | 0 | 0 | | 1 | 3 | | 2 | 6 | | 3 | 9 | | 4 | 12 | | 5 | 15 | | 6 | | | x | f(x) | | --- | --- | | 0 | 1 | | 1 | 3 | | 2 | 5 | | 3 | 7 | | 4 | 9 | | 5 | | | 6 | | | x | f(x) | | --- | --- | | 0 | 2 | | 1 | 2 ½ | | 2 | 3 | | 3 | 3 ½ | | 4 | 4 | | 5 | | | 6 | | 4) f(x) = 5) f(x) = 6) f(x) = | x | f(x) | | --- | --- | | 0 | -3 | | 1 | 2 | | 2 | 7 | | 3 | 12 | | 4 | 17 | | 5 | | | 6 | | | x | f(x) | | --- | --- | | 0 | 5 | | 1 | 9 | | 2 | 13 | | 3 | 17 | | 4 | 21 | | 5 | | | 6 | | | x | f(x) | | --- | --- | | 0 | 15 | | 1 | 14 | | 2 | 13 | | 3 | 12 | | 4 | 11 | | 5 | | | 6 | | 7) f(x) = 8) f(x) = | In | 0 | 1 | 2 | 3 | 4 | 5 | | --- | --- | --- | --- | --- | --- | --- | | Out | ½ | ¾ | 1 | 1 ¼ | 1 ½ | | | In | 0 | 1 | 2 | 3 | 4 | 5 | | --- | --- | --- | --- | --- | --- | --- | | Out | -5 | -2 | 1 | 4 | 7 | | Name Date INPUT OUTPUT FUNCTION TABLES SHEET 4C ANSWERS Write down the formula for f(x) for each of these function tables. Fill in any missing outputs. 1) f(x) = 3x 2) f(x) = 2x + 1 3) f(x) = ½ x + 2 | x | f(x) | | --- | --- | | 0 | 0 | | 1 | 3 | | 2 | 6 | | 3 | 9 | | 4 | 12 | | 5 | 15 | | 6 | 18 | | x | f(x) | | --- | --- | | 0 | 1 | | 1 | 3 | | 2 | 5 | | 3 | 7 | | 4 | 9 | | 5 | 11 | | 6 | 13 | | x | f(x) | | --- | --- | | 0 | 2 | | 1 | 2 ½ | | 2 | 3 | | 3 | 3 ½ | | 4 | 4 | | 5 | 4 ½ | | 6 | 5 | 4) f(x) = 5x – 3 5) f(x) = 4x + 5 6) f(x) = 15 – x | x | f(x) | | --- | --- | | 0 | -3 | | 1 | 2 | | 2 | 7 | | 3 | 12 | | 4 | 17 | | 5 | 22 | | 6 | 27 | | x | f(x) | | --- | --- | | 0 | 5 | | 1 | 9 | | 2 | 13 | | 3 | 17 | | 4 | 21 | | 5 | 25 | | 6 | 29 | | x | f(x) | | --- | --- | | 0 | 15 | | 1 | 14 | | 2 | 13 | | 3 | 12 | | 4 | 11 | | 5 | 10 | | 6 | 9 | 7) f(x) = ¼ (x + 2) 8) f(x) = 3x – 5 | In | 0 | 1 | 2 | 3 | 4 | 5 | | --- | --- | --- | --- | --- | --- | --- | | Out | ½ | ¾ | 1 | 1 ¼ | 1 ½ | 1 ¾ | | In | 0 | 1 | 2 | 3 | 4 | 5 | | --- | --- | --- | --- | --- | --- | --- | | Out | -5 | -2 | 1 | 4 | 7 | 10 |

FAQs

What does the worksheet ask you to do with each function table?

Write the formula f(x) for the relationship shown in the table, then fill in any missing outputs.

How are the correct formulas determined?

By matching the input x values to the given output f(x) values and identifying the underlying pattern or linear rule.

Are fractional outputs included in the task?

Yes. Some tables use fractional or mixed-number outputs, and the formulas must produce those exact values.

Oct 22, 2026

Uploaded by Bintang