Answer:
"minimum value = 0; maximum value = 8"
Step-by-step explanation:
This is the absolute value function, which returns a positive value for any numbers (positive or negative).
For example,
| -9 | = 9
| 9 | = 9
| 0 | = 0
Now, the domain is from -8 to 7 and we want to find max and min value that we can get from this function.
If we look closely, putting 7 into x won't give us max value as putting -8 would do, because:
|7| = 7
|-8| = 8
So, putting -8 would give us max value of 8 for the function.
Now, we can't get any min values that are negative, because the function doesn't return any negative values. So the lowest value would definitely be 0!
|0| = 0
and
ex: |-2| = 2 (bigger), |-5| = 5 (even bigger).
So,
Min Value = 0
Max Value = 8
You have 3 consecutive whole numbers.
The smallest one is 'm' .
The next one must be 'm + 1' .
And third one must be 'm + 2' .
Answer:
The maximum volume is: 11.52 *10.52*2.74 = 332.06 
Step-by-step explanation:
Let x is the side of the square in inches.(x >0)
The volume of the resulting box when the flaps are folded up can be expressed as:
V = x (17 -2x)(16-2x)
= (17x -2
)(16-2x)
= 
- 66 + 272x
To find the value of x which yields the maximum of volume (V), take the first derivative of this equation and set it equal to zero.
= 12 - 66x + 272
Solve 12 - 132x + 272 = 0
<=> x = 2.74
The dimensions of the box are:
Length: (17 -2x) = (17 -2*2.74) = 11.52
Width: (16-2x) = (16-2*2.74) = 10.52
High: x = 2.74
So the maximum volume is: 11.52 *10.52*2.74 = 332.06
