Complete The Input Output Table With a Step Function

Question

A step function is shown below.

1. 1. Complete the input-output table (10 points)

x	f(x)
0
0.5
1
1.5
2
2.5
3
3.5
4

Referring to the table and the graph, you may notice some type of a rounding pattern. What is the pattern?

Answer 1

1.) x to f(x)

0 .... 1

0.5 .... 1

1 .... 1

1.5 .... 1

2 .... 3

2.5 .... 3

3 .... 3

3.5 .... 3

4 ... 5

2.) You can notice that for any x, f(x) rounds x to the nearest whole odd number. If it is in the middle (like x=2 or x=4), they are rounding up!