Question

2*,

2
34+6,
-25x<3
3≤x<9
T+64-15,
9 (a) Construct a table of values for the function over the interval -2 < x <15 and use it to graph the function.

Answer 1

Table of values for the function:

| x | f(x) |

| -2 | 37 |

| -1 | 40 |

| 0 | 43 |

| 1 | 46 |

| 2 | 49 |

| 3 | 52 |

| 4 | 55 |

| 5 | 58 |

| 6 | 61 |

| 7 | 64 |

| 8 | 67 |

| 9 | 70 |

| 10 | 73 |

| 11 | 76 |

| 12 | 79 |

| 13 | 82 |

| 14 | 85 |

| 15 | 88 |

Graph of the function:

As seen in the table and the graph, the function shows a linear relationship between x and f(x). It starts from the point (-2, 37) and increases steadily by 3 for each unit increase in x.