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
jenyasd209 [6]
3 years ago
15

Which of the following functions could be f(x) ?

Mathematics
1 answer:
notka56 [123]3 years ago
8 0

Answer:

B.  f(x) = -x^3 - x^2 + 7x - 4

Step-by-step explanation:

For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.

For each of these equations, we will simply take the terms with the highest power and consider those.  The two cases we need to consider is + infinite for x and - infinite for x.  Let's check each of these equations.

Note, any value raised to an even power will be positive.  Any negative value raised to an odd power will be negative.

<u>[A] - x^4</u>

<em>When x is +∞ --> - (∞)^4 -->  f(x) is -∞</em>

<em>When x is -∞ --> - (-∞)^4 --> f(x) is -∞</em>

<em />

<u>[B] - x^3</u>

<em>When x is +∞ --> - (∞)^3 --> f(x) is -∞</em>

<em>When x is -∞ --> - (-∞)^3 --> f(x) is ∞</em>

<em />

<u>[C] 2x^5</u>

<em>When x is +∞ --> 2(∞)^5 --> f(x) is ∞</em>

<em>When x is -∞ --> 2(-∞)^5 --> f(x) is -∞</em>

<em />

<u>[D] x^4</u>

<em>When x is +∞ --> (∞)^4 --> f(x) is ∞</em>

<em>When x is -∞ --> (-∞)^4 --> f(x) is ∞</em>

<em />

Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).

Cheers.

You might be interested in
Factor completely. 36c2−84cd+49d2=
spayn [35]

Answer:

(6c-7d)^2

Step-by-step explanation:

Factor using the perfect square rule

7 0
3 years ago
System of Equations<br><br> y=-x-1<br> y+x=3<br><br> Solve?
ozzi
Solve by substitution

\sf{y=-x-1}
\sf{y+x=3}

Just plug in y=-x-1 into y+x=3

So we get:

\sf{(-x-1)+x=3}

Simplify that:

\sf{-1=3}

And since that is not true, that means this system of equations has no solutions!
6 0
3 years ago
A rectangular sheet of paper is 25/2cm long and 32/3 cm wide. Find its perimeter. *​
Zina [86]

Answer:

46.3cm

Step-by-step explanation:

  • perimeter is length around shape
  • 25/2 multiply by 2 becoz it's got two equal sides
  • 32/3 multiply by two for the other equal sides
  • add answers together to give you
  • 46.3cm
3 0
2 years ago
Read 2 more answers
What is the length of the altitude of the equilateral triangle below?​
ElenaW [278]

Answer:

A

Step-by-step explanation:

the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).

10² = a² + 5²

100 = a² + 25

75 = a²

a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)

5 0
2 years ago
If 8 family members choose to play "Secret Santa," how many different ways can the names be paired?
viktelen [127]

Answer:

300,000,000 or three hundred million

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • How Do I Answer This Question ?
    14·2 answers
  • Please answer this in two minutes
    10·2 answers
  • How do you convert mg to kilograms? How do you convert mg to kilograms? 1 following 7 answers 7 Report Abuse Are you sure you wa
    14·1 answer
  • An amount of 19,000 is borrowed for 7 years at 7.75% interest, compounded annually. If the loan is paid in full at the end of th
    8·1 answer
  • HELP I NEED HELP PLZ
    10·1 answer
  • A rectangular field is three times as long as it is wide. If the perimeter of the field is 400 feet, what are the dimensions of
    14·1 answer
  • Ms. White has 15 students in her first grade class. Troy is the line leader for the week, and Mackenzie is last because she was
    9·2 answers
  • Hurry I need this answer
    13·1 answer
  • Can someone help me?
    9·1 answer
  • A 12 inch line segment is divided into two parts. Which of the following lengths result in a ratio closest to the golden ratio,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!