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:
x=4 y=1
x=4 y=4
Step-by-step explanation:
x=4 goes on plot 4
(4,f(4)) plot goes on 4 x, 4 and y, 4
hope this helps
<h3><u>x > -4 is the solution to this inequality.</u></h3>
30 > -6(2x + 3)
Distributive property.
30 > -12x - 18
Add 18 to both sides.
48 > -12x
Divide both sides by -12.
(Because we're dividing by a negative, the inequality sign flips.)
<h3><u>4- < x</u></h3>
Point.
<h3>Further explanation</h3>
- This is one of the classic problems of Euclidean geometry.
- The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
- We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.
Types of Angles
- The acute angle represents an angle whose measure is greater than 0° and less than 90°.
- The right angle is an angle that measures 90° precisely.
- The obtuse angle represents an angle whose measures greater than 90° and less than 180°.
- The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.
<u>Note:</u>
Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.
These key terms cannot be mathematically defined using other known words.
- A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
- A line represent an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
- A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.
<h3>Learn more
</h3>
- Undefined terms are implemented to define a ray brainly.com/question/1087090
- Definition of the line segment brainly.com/question/909890
- What are three collinear points on a line? brainly.com/question/5795008
Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry