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
luda_lava [24]
3 years ago
15

Is there a relationship between the degree of a polynomial and how "steep" it is on the left and right edges? If so, what is it

Mathematics
1 answer:
victus00 [196]3 years ago
5 0

Answer:

The larger the degree, the steeper the graph's branches towards the right and left edges.

Step-by-step explanation:

Yes, there is a relationship between the degree of a polynomial and how steep its branches are at their end behavior (for large positive values of x, and to the other end: towards very negative values of x).

This is called the "end behavior" of the polynomial function, and is dominated by the leading term of the polynomial, since at very large positive or very negative values of the variable "x" it is the term with the largest degree in the polynomial (the leading term) the one that dominates in magnitude over the others.

Therefore, larger degrees (value of the exponent of x) correspond to steeper branches associated with the geometrical behavior of "power functions" (functions of the form:

f(x)=a_n\,x^n

which have characteristic end behavior according to even or odd values of the positive integer "n").

Recalling the behavior of such power functions, the larger the power (the degree), the steeper the graph.

You might be interested in
Simplify this expression, and leave your answer in scientific notation: 4 x 10^6/2 x 10^8
Anna007 [38]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar
pashok25 [27]
Area=length x width
A=10x(3/2 x + 1/2 y).
Now Distribute...
A=30x^2/2 + 10xy/2)
Now simplify fractions...
A=15x^2 + 5xy= 125

So I believe your answer is D)
7 0
3 years ago
Read 2 more answers
-12(mayor o igual que)5x-9<br> Resolver con inecuaciones<br> ayuda porfa
ivolga24 [154]
-12>/5x-9
+9 A Los dos lados
-3>/5x
÷5 Los dos lados
-3/5 >/ x
x </ -3/5
4 0
3 years ago
Read 2 more answers
How is global warming a problem
lidiya [134]

Answer:

Global warming is a huge problem

Step-by-step explanation: If the ice caps melts, that means that there is more water in the ocean, the more water in the ocean, the less land there is to live on.

6 0
3 years ago
Read 2 more answers
Write as a mixed number to the lowest terms 9 1/4 - 6 2/3 =
yuradex [85]
The answer is 2 7/12 your welcome give me brainlist
5 0
3 years ago
Other questions:
  • The temperature of a subatance decreased by 24 per minute for 3 minutes
    15·1 answer
  • What is 28,000 have in common with 27,000
    7·2 answers
  • How do you simplify 19/228
    11·2 answers
  • Solve. 3t &lt; –15 (1 point)<br> t &lt; –5<br> t &gt; –5<br> t &lt; –45<br> t &gt; –45
    11·1 answer
  • The sum of a + b is an odd number if
    5·1 answer
  • I NEED FAST HELP!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • Express -32/243 into power notation​
    6·1 answer
  • Dear Garden Designer,
    8·1 answer
  • What theorem can be used to prove<br> these triangles are congruent?<br> ASA<br> SAA<br> neither
    7·2 answers
  • 1) 3 = x + 13I need help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!