With these graph problems - you in advance! there are two!

 1) B  [-4, 2) ∪ (2, 5) ∪ (5, ∞)

               2) D (-4, -2) ∪ (2, 4)

Step-by-step explanation:

First, you need to understand that "domain" refers to all of the x-values.

Second, you need to understand that an open dot means that the coordinate IS NOT included and a closed dot means that it IS included.

Third, you need to understand interval notation. A bracket [ ] means the value is included - closed dot.  A parenthesis ( ) means the value is not included - open dot.  

Note 1: If a value has both an open dot and a closed dot, the x-value is included on the graph so is represented with a bracket.

Note 2: infinity is always represented by parenthesis (because you can't actually plot that value).

Graph 1:

The first section of the graph starts at x = -4 with a closed dot (bracket) and has a continuous line to x = -2 with an open dot (parenthesis).

Graph 2:

The next section of the graph starts at x = -2 with a closed dot (bracket) and continues to x = ∞ but has open dots at x = 2 and x = 5.

Notice that x = -2 has a parenthesis in the first section of the graph and a bracket in the next section of the graph.  A bracket supersedes parenthesis so x = -2 will have a bracket (refer to Note 1).

So the graph starts at -4 and ends at infinity but has open dots at 2 and 5.  Interval notation will be:

Part 2 asks when y is negative (below the x-axis).

This occurs when x > 4 (not at x = 4 because y = 0 and is not less than zero)

and between -2 and 4 (not equal to them because y = 0)

Step-by-step explanation:

x  -  first integer

x+1  - the next consecutive integer

x(x+1)  - their product

x(x + 1) - 147 = -75

x² + x - 72 = 0