D is a function because there are no repeated x values
for example b is not a function because we have (0,-7) and (0,-9)
Answer:
Option A is correct.
The domain of the g(x) is {x | x is a real number}
Step-by-step explanation:
The graph of the step function: g(x)=
Floor function is defined as the function that gives the highest integer less than or equal to x.
The graph of function: g(x)=
where x is the independent variable as shown below;
Domain of any function is the complete set of possible values of the independent variable
Therefore, the domain of the function g(x) is the set of all real numbers or we can represent this as {x | x is a real number}.
Because the two angles on the right add to 180 degrees, we can create this system:

We can also prove that

, which, when solved, shows that

.
When plugged in to the original equation, we find that y = 105 degrees.
Answer:
Step-by-step explanation:
(2,-4)....x1= 2 and y1 = -4
(p,8).....x2 = p and y2 = 8
slope(m) = 1/2
now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...
slope(m) = (y2 - y1) / (x2- x1)
1 / 2 = (8 - (-4) / (p - 2)
1 / 2 = (8 + 4) / (p - 2)
1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)
1/2(p - 2) = 12
1/2p - 1 = 12
1/2p = 12 + 1
1/2p = 13
p = 13 / (1/2)
p = 13 * 2/1
p = 26
so the value of p is 26