Question

Consider the table:

Input value Output value
0 0
1 1
2 4
3 9

Which statements are true? Select all that apply.
The graph of the function will not form a straight line, so it is nonlinear.
The function is not proportional.
The function goes through the origin.
The difference between consecutive output values is a constant.

Answer 1

1st 2nd and 3rd box

Explanation:

1. It does not form a straight line because the output is not proportional. (it does not follow a pattern)

2. the line is not proportional because it does not follow a pattern or ratio of any kind (2468 is proportional because it follows the pattern of 2)

3. the origin is the coordinates (0,0) and the table has that labeled in the diagram therefore the graph does go through the origin

4. the output is not constant (output is 0149) because it does not show any sort of pattern. therefore the 4th box is incorrect.