Answer: Midpoint
<u>Step-by-step explanation:</u>
Midpoint is the point that is equal distance from the endpoints.
This is the answer its easy just simplify the inequality
Using the graph and function concepts, it is found that:
a) The domain is
, while the range is ![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
b) The function is increasing in
and
, and decreasing
, and
.
--------------------
- The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
- The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
- If the <em>graph </em>is pointing upwards, the function increases.
- If the <em>graph </em>is pointing downwards, the function decreases.
--------------------
Item a:
- On the graph, the x-values are from -5 to 4, thus the domain is:
![[-5,4]](https://tex.z-dn.net/?f=%5B-5%2C4%5D)
- The y-values are from -2 to -5, thus, the range is:
![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
--------------------
Item b:
- On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in
and
. - On the other intervals,
, and
, the function is decreasing.
A similar problem is given at brainly.com/question/10891721
Answer:
<em>The shortest possible length for the service road is 2.88 miles.</em>
Step-by-step explanation:
According to the below diagram,
and
are the positions of airport, shopping center and factory respectively.
Given that,
and 
In right triangle 

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is
.
That means,
is also a right triangle in which
, Hypotenuse
miles and
is the opposite side in respect of
or
.
Now in right triangle 

So, the shortest possible length for the service road is 2.88 miles.