Answer as a compound inequality: 
Answer in interval notation: [-4, 2)
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Explanation:
The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.
The lowest point occurs when y = -4. We include this value. So far we have 
which is the same as 
The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that 
Combine and to get the compound inequality
This says y is between -4 and 2, including -4 but excluding 2.
To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.
Answer:
5
Step-by-step explanation:
Rental = $40
Catering = $12 per person
Budget = $100
Amount left after paying for the rental
= 100 - 40
= $60
Maximum number of guests
= 60 ÷ 12
= 5
Answer:
18.248287
8.2
Step-by-step explanation:
Answer:
1.) 112.5 degrees
2.) 67.5 degrees
3.) 150 degrees
4.) 240 degrees
5.) 540 degrees
( don't hate me if any is wrong don't think they are but just trying to help) let me know if any of them are wrong and if it helped!
Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that
And then we get that if 
then 
. So it has a critical point at .
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.
