1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
drek231 [11]
3 years ago
15

What is the maximum number of turns for the graph of f(x)=x^4+3x^2?

History
2 answers:
ohaa [14]3 years ago
3 0

Answer:

The turns of a graph is represented by the number of maximum or minimum that the function has.

If we differenciate f(x) we get:

f'(x)=4x^3+6x

f'(x)=2x(2x^2 + 3)

Therefore f'(x) =0, when x=0. Given that negative roots are not defined.

Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.

Attached you find the graph of the function which confirms the number of turns.

If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!

Kisachek [45]3 years ago
3 0

Answer: 3

Explanation:

You might be interested in
1. Explain how the methods and styles used by Newton to share his discoveries aided
Eva8 [605]

Answer:

Isaac Newton (1643 - 1727), a renowned English author, physicist, astronomer, and theologian, wrote down more than 10 million words to document his scientific, religious, and academic works and discoveries.  Many of his written words were published after his death.  Through his writings, people increased their understanding of the sciences.

The Protestant reformers of the 16th Century, led by Martin Luther, also used the method of writing down their religious beliefs to increase people's understanding of their religious issues.

Explanation:

But before then, the Catholic Church and her theologians had written down volumes of works about various subjects.  The only difference was that much of the Church documents were not made available for people to freely read.  They were actually reserved for the educated because the Church believed strongly that half education was very dangerous.  We can still feel the misinterpretations of the scriptural, scientific, and technological works today.  Some people are always reducing divine and philosophical matters to their human levels of understanding once they have the slightest opportunity to interpret mysteries.

4 0
3 years ago
Why did Cleopatra VII have to flee to Syria?
natta225 [31]
To assemble an army to defeat her rival in order to declare the throne to herself.
6 0
3 years ago
What was the battle of little bighorn 
ddd [48]
He battle of Little Bighorn occurred in 1876
4 0
3 years ago
Can christians and non-christians agree about moral matters in public policy? why or why not?
valentina_108 [34]
Yes I think they can, if they are trying to agree on moral matters in "Public Policy" I don't see why religion would have to play a part in the discussion
 
3 0
3 years ago
Read 2 more answers
Plz hurry Who lost the 1824 presidential election despite receiving the most Electoral College votes?
marta [7]

Answer:

In the election, Andrew Jackson won a plurality of both the popular and electoral vote.

Explanation:

Even though Jackson had the most votes, he still lost the election.

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the name given to the types of religious folk songs African Americans used to express their beliefs? *
    8·1 answer
  • Which of the following is a direct result of women being granted suffrage?
    14·2 answers
  • Which of the following characteristics of Rome helped lead to the rise of the Rome Empire?
    6·2 answers
  • What event took place in 1850 and 1860 in the civil war ?
    7·1 answer
  • What impact did Henry Morrison Flagler's efforts in extending railroad service along the length of Florida have on the area in t
    13·2 answers
  • Several million people have migrated to the united states illegally in recent years. why have most of these people come to the u
    8·1 answer
  • How did the holocaust impact the world
    14·2 answers
  • C was divided into two countries, one democratic and one communist, after World War II.
    8·2 answers
  • Use the following text from the Twelfth Amendment to answer the following question:
    6·1 answer
  • Look at the mountain ranges
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!