Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing? (–∞, –3) (–∞, 2) (–3, ∞) (2, ∞)
Answers
Answer:
The interval over which the graph is decreasing is;
(-∞, -3)
Explanation:
The given function is f(x) = 2·(x + 3)² + 2
By expanding the function, we have;
2·x² + 12·x + 20
From the characteristics of a quadratic equation, we have;
The shape of a quadratic equation = A parabola
The coefficient of x² = +2 (positive), therefore the parabola opens up
The parabola has a minimum point
Points to the left of the minimum point are decreasing
The minimum point is obtained as the x-coordinate value when f'(x) = 0
∴ f'(x) = d(2·x² + 12·x + 20)/dx = 4·x + 12
At the minimum point, f'(x) = 4·x + 12 = 0
∴ x = -12/4 = -3
Therefore;
The graph is decreasing over the interval from -infinity (-∞) to -3 which is (-∞, -3)
Please find attached the graph of the function created with Microsoft Excel
The graph is decreasing over the interval (-∞, -3).
Answer:
A. (–∞, –3)
Explanation:
Edge 2021 ( if feel still think it's wrong, check the picture ⬇️ )
Related Questions
One problem with _______ is that often many copies of the same document are made.
HELPPP
Answers
Answer:
computer or internet is that often many copies of the same document .........
When is the following expression true? (2 points)
!(!a || b) || (!a && b)
1) If and only if a and b have different values
2) If and only if a and b have the same value
3)
If and only if both a and b are true
4) If and only if both a and b are false
5) The expression is never true
Answers
Answer:
1) If and only if a and b have different values
Explanation:
Given
Expression: !(!a || b) || (!a && b)
Required
When is it true?
The expression is true when the values a and b are different and the proof is as follows.
(1) Assume that: a = true and b = false
!(!a || b) || (!a && b)
= !(!true || false) || (!true && false)
!true = false, so the expression becomes:
= !(false|| false) || (false && false)
In boolean, false|| false = false and false && false = false. So, we have:
= !(false) || (false)
!(false) = true, so, the expression becomes:
= true || (false)
Lastly, true || false = true
(2) Assume that: a = false and b = true
!(!a || b) || (!a && b)
= !(!false|| true) || (!false && true)
!false = true, so the expression becomes:
= !(true|| true) || (true && true)
In boolean, true|| true = true and true && true = true. So, we have:
= !(true) || (true)
!(true) = false, so, the expression becomes:
= false|| true
Lastly, false || true = true
This expression is false if a and b have the same value
For what two reasons is it important to add comments to a program?
Answers
Which of these is NOT an example of intellectual property? O a song you wrote O an article you published O hardware you purchased O a sculpture you created Question 5 9
Answers
Answer:
hardware you purchased
Explanation:
Copyright law can be defined as a set of formal rules granted by a government to protect an intellectual property by giving the owner an exclusive right to use while preventing any unauthorized access, use or duplication by others.
Patent can be defined as the exclusive or sole right granted to an inventor by a sovereign authority such as a government, which enables him or her to manufacture, use, or sell an invention for a specific period of time.
Generally, patents are used on innovation for products that are manufactured through the application of various technologies.
Basically, the three (3) main ways to protect an intellectual property is to employ the use of
I. Trademarks.
II. Patents.
III. Copyright.
An intellectual property can be defined as an intangible and innovative creation of the mind that solely depends on human intellect. They include intellectual and artistic creations such as name, symbol, literary work, songs, graphic design, computer codes, inventions, etc.
Hence, a hardware you purchased is not an example of an intellectual property.
What is information cycle
Answers
Answer:
The term information cycle refers to the way information is processed and distributed and how it changes over time. It is usually used to describe the progression of media coverage relating to a particular newsworthy event or topic during which information goes through various stages of reporting and publication.
do u have to divide or multiply this problem 5300 yd = mi
Answers
Answer:
the answers is 3.011364 and if you need to roundnit would be 3.01
I'm kinda lazy if anyone agrees with me. I couldn't write the question but I took a pic.
Answers
Answer:
eat the stick
Explanation:
because its long and juicy
What pc games do you all play?
Answers
Answer:
none
Explanation:
Answer:
Among us
Explanation: