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
julia-pushkina [17]
1 year ago
7

(a) Determine the end behavior of the graph of the function

Mathematics
1 answer:
vodka [1.7K]1 year ago
7 0

Answer

y=x^4

EXPLANATION

Problem Statement

The question gives us a polynomial:

f(x)=x^2(x-10)(x+10)

We are asked to find the end behavior of the function for large values of |x|.

Solution

To solve this question, we simply need to expand the function.

\begin{gathered} f(x)=x^2(x-10)(x+10) \\ f(x)=x^2(x^2-100) \\ f(x)=x^4-100x^2 \end{gathered}

For large values of x,

\begin{gathered} x^4>100x^2 \\ \text{Divide both sides by }x^2 \\ \frac{x^4}{x^2}>\frac{100x^2}{x^2} \\  \\ x^2>100 \\ x^2>10^2 \\ x>10 \\  \\ \text{Thus, for any value of x > 10,} \\ x^4>100x^2\text{ holds true.} \\  \\ \text{This means that we can choose a sufficiently large enough }x\text{ to make the influence of }100x^2 \\ \text{negligible.} \\  \\ f(x)\approx x^4,\text{ for very large values of x.} \end{gathered}

Final Answer

y=x^4

You might be interested in
1.
anygoal [31]
Where is the picture for the problem?
7 0
3 years ago
40% of a nurse time is spent disowning medicine to patients. if 16 hours is spent dispensing medicine, how many hours does the n
Ber [7]
40 % = 16 hours
100 % = 40 hours, the nurse works for 40 hours.
this can be proven by 40% of 40 is 16.
4 0
3 years ago
Read 2 more answers
Combine and simplify these radicals. 160 40<br><br>I AM TIMED!!!
mr Goodwill [35]

Answer:

200

hope it help

7 0
2 years ago
Read 2 more answers
How do you write equation for rise ove run
SashulF [63]
Y = mx + b

M= your slope or rise over run

B = your y-intercept

For example if the rise was 5 and the run is 6, the equation would say
y = 5/6 + b
The / being your fraction bar

The y-intercept is where your line crosses the y-axis
So say that the line crosses the y-axis at 10
y = 5/6 + 10

That about sums it all up!

6 0
3 years ago
A trailer will be used to transport several 50 kilogram crates to a store. The greatest amount of weight that can be loaded on t
Maslowich
Know


50 kg


Tell me if it’s right
8 0
2 years ago
Other questions:
  • What is 3.92 times 0.051?
    15·2 answers
  • a school soccer field is being dug up and covered with new sod grass which is the best estimate of the total amount of sod grass
    7·1 answer
  • Please help me quick I will make a new question but it''s giving you about 98 points!!!1
    13·1 answer
  • Brainly plz help only three questions and don't answer for point kinda rude
    7·2 answers
  • The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are sit by 11 ft. Find the ratio of
    15·1 answer
  • Find the area of the figure. Use 3.13 for
    5·1 answer
  • Find the value of x.<br><br> WILL GIVE THE BRAINLIEST TO THE BEST ANSWER
    8·2 answers
  • Help<br>i forgot which one it was​
    10·2 answers
  • Ufncunniufncfcnnuunr please heLlLpPpPpPpPppOpPp
    6·2 answers
  • A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed on yellow side up 28 times.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!