The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
What do you mean by absolute maximum and minimum ?
A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.
It is given that function is f(x) = |x + 3|.
We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.
So , if we put |x + 3| = 0 , then :
± x + 3 = 0
±x = -3
So , we can have two values of x which are either -3 or 3.
The value 3 will be absolute maximum and -3 will be absolute minimum.
Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
Learn more about absolute maximum and minimum here :
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1/5 divided by 6
6 = 6/1
When dividing fractions, we follow a rule called "Keep, change, flip."
It then becomes: 1/5 * 1/6 = 1/30
1 fifth divided by 6 equals 1/30
So you have 10 gallons of gas
You use 1.625 or 1.63 an hour
You can either do 10/1.625 = 6 hours and 15 mins
You can either do 10/1.63 = 6 hours and 13 mins
0.78
hope this helps, good luck! :)
