Answer:
y of what do you have at least a picture?
<span>0.03, 0.065, 14%, 1/8 i think this is right
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Answer:
Domain -∞ < x < +∞
Range f(x) ≤ - 4
Step-by-step explanation:
The given quadratic function is f(x) = - 4 (x + 1)² - 4
Now, we have to find the domain and range of the quadratic function.
Now, it is clear from the given function that f(x) will have real value for all real value of x.
Therefore, the domain of the function is -∞ < x < +∞ (Answer)
Now, (x + 1)² is always ≥ 0
i.e. (x + 1)² ≥ 0
⇒ - 4 (x + 1)² ≤ 0 {Since the inequality sign changes for multiplying both sides of the equation by a negative term}
⇒ - 4 (x + 1)² - 4 ≤ - 4
⇒ f(x) ≤ - 4
Therefore, this is the required range of the function f(x). (Answer)
The area of the green region is of:
9 units².
<h3>How to obtain the area of the green region?</h3>
The base is composed by three equal segments, hence their lengths are given as follows:
AB = BC = CD = 9/3 = 3.
The heights are given as follows:
As they are proportional.
The green region is composed by:
- A rectangle of dimensions 3 and 2.
- A right triangle of sides 3 and 2.
The area of the rectangle is given by the multiplication of the dimensions, hence:
Ar = 3 x 2 = 6 units².
The area of the triangle is given by half the multiplication of the dimensions, hence:
At = 0.5 x 3 x 2 = 3 units².
Then the area of the green region is given by:
A = Ar + At = 6 + 3 = 9 units².
More can be learned about the area of a figure at brainly.com/question/25292087
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