Question

Which table shows a function that is decreasing only over the interval (–1, ∞)?

What answer is it and why? To me it seems it can either be C or D (One all the way to the right on the top row and one all the way to the bottom right), but I'm not sure why it would be either one over the other and would need an explanation. If it is neither C nor D I need an explanation on how to solve this question correctly.

Answer 1

The last graph (d) represents it

Answer 2

Answer: The table to the farthest right the last one.

Step-by-step explanation:

The interval (-1, ∞) represents x-values anywhere from -1 and higher.

As such, you are looking for a table with y-values that decrease as the x-values increase.

Starting from -1 -

The first option: -5, -2, -1, 2. This is increasing.

The second option: -7, -6, 1, -1. This increases from -7 to -6 to 1.

The third option: -1, 2, 1, -6. This increases from -1 to 2.

The fourth option: 1, 0, -4, -8. This decreases across all coordinates in the range specified.