- Tables, Graphs, Functions and Sequences
- Home
- Making a table and plotting points given a unit rate
- Graphing whole number functions
- Function tables with two-step rules
- Writing a function rule given a table of ordered pairs: One-step rules
- Graphing a line in quadrant 1
- Interpreting a line graph
- Finding outputs of a one-step function that models a real-world situation
- Finding outputs of a two-step function with decimals that models a real-world situation
- Writing and evaluating a function that models a real-world situation: Basic
- Graphing ordered pairs and writing an equation from a table of values in context
- Writing an equation and drawing its graph to model a real-world situation: Basic
- Identifying independent and dependent quantities from tables and graphs
- Finding the next terms of an arithmetic sequence with whole numbers
- Finding the next terms of a geometric sequence with whole numbers
- Finding patterns in shapes

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
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# Function tables with two-step rules

In this lesson, we fill in a table with x and y values given a function rule with two-step rules. Usually the function rule is a linear equation in x and y. By giving different values to the independent variable x, corresponding values of dependent variable y are found. These x and y values are then put in a table. Thus a function rule with two-step rules is used to fill in a table with x and y values.

Fill in the table using this function rule.

y = 5x − 3

### Solution

**Step 1:**

In y = 5x − 3, for x = 0, y = 5(0) − 3 = −3; for x = 1, y = 5(1) − 3 = 2;

Similarly, for x = 2, y = 7; for x = 3, y = 12 and for x = 4, y = 17.

**Step 2:**

Making a table of x and y values we get

Input(x) | Output(y) |
---|---|

0 | -3 |

1 | 2 |

2 | 7 |

3 | 12 |

4 | 17 |

Fill in the table using this function rule.

y = 3x − 3

### Solution

**Step 1:**

In y = 3x − 3, for x = 0, y = 3(0) − 3 = −3; for x = 1, y = 3(1) − 3 = 0;

Similarly, for x = 2, y = 3; for x = 3, y = 6 and for x = 4, y = 9.

**Step 2:**

Making a table of x and y values we get

Input(x) | Output(y) |
---|---|

0 | -3 |

1 | 0 |

2 | 3 |

3 | 6 |

4 | 9 |