Question

Look at the table and choose “true” or “false”.

​​​​​​​

(5 points)
True False
This table represents a function.


This table shows an increasing relationship.


This table shows a linear relationship.


This table shows a constant rate of change.


This table shows a proportional relationship.


Skip to navigation

Answer 1

I can't see the table — could you paste the x–y pairs (or upload the image)?

While you paste it, here is how to decide each statement so you can check quickly:

- This table represents a function: True if every input (x) has exactly one output (y). If an x appears twice with different y's → not a function.

- This table shows an increasing relationship: True if as x increases the corresponding y values always increase (strictly increasing). If any y decreases or stays the same for a larger x, it is not strictly increasing.

- This table shows a linear relationship: True if the rate of change (difference in y divided by difference in x) is constant for all equal x-steps — equivalently the first differences (Δy) are proportional to Δx. If the input steps are 1, check whether the successive differences in y are equal.

- This table shows a constant rate of change: same test as linear — the slope Δy/Δx is constant.

- This table shows a proportional relationship: True if it is linear and the line goes through the origin (0,0). Equivalently, y/x is the same constant for all points (and (0,0) is included or the constant holds when x=0).

Send the table and I’ll mark each statement True/False and show the work.