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.
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Answer:
2 and 3
Step-by-step explanation:
2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
side ratio: 1/4------- area ratio: 1²/4² = 1/16 = 1:16 ratio
3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
The ratio of the perimeters is the same as the scale factor.
scale 1:4
The answer is D because they are both legs and you are looking for the hypotenuse
There is only 1 solution for the length of BC.
We can calculate it using Pythagorean theorem.
We can conclude that triangle's hypotenuse is AC.

If that is the case we are looking for a side BC.

Now put in the data.

Hope this helps.
r3t40