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
babunello [35]
3 years ago
10

Determine the end behavior of each rational function below. f(x) = 7x5 − 3x + 1 / 4x3 + 2

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞

Step-by-step explanation:

Hi there!

First, let´s write the function:

f(x) = (7x⁵ - 3x +1) / (4x³ + 2)

When x ⇒ +∞

f(x) ⇒ (7x⁵ - 3x) / 4x³    because (7x⁵ - 3x)>>>1 and 4x³>>>2 we can neglect those constants.

f(x) ⇒7x⁵/4x³ - 3x/4x³

f(x) ⇒ 1.75x² - 0.75/x²    (0.75/x² ⇒ 0 because a number divided by a very big number is approximately zero). Then:

f(x) ⇒ 1.75x² ⇒ +∞

When x ⇒ -∞

f(x) ⇒ 1.75x² = +∞ (because x² is always positive)

Then, when x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞

You might be interested in
If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?
dezoksy [38]

Answer:

  • See below

Step-by-step explanation:

<u>This a form of the proportional relationship:</u>

  • f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of items

<u>We have:</u>

  • f(5) = 12

<u>It means:</u>

  • Total cost of 5 cupcakes is $12
5 0
2 years ago
How do you know whether two quantities x and y are proportional?
ANEK [815]

Answer:

I'm pretty sure it is (a)

8 0
3 years ago
Read 2 more answers
6. Evaluate /(x) = -4x - 5 for x = -1.
Stels [109]

Answer:

-1

Step-by-step explanation:

-4(-1)-5=4-5=-1

3 0
3 years ago
A pizza is cut into 6 equal pieces. After Eli and Dan eat
AlladinOne [14]
2+2 is 4 - 1 that’s three quick maths ok sorry bye have a good day
3 0
2 years ago
3/4, find the surface area
Semmy [17]

Answer:

1,350 cm^2

Step-by-step explanation:

It's a cube so all faces/bases are the same.

15 × 15 = 225

225 × 6 = 1,350

4 0
3 years ago
Other questions:
  • Question 20 of 33
    11·1 answer
  • Problem is Sin38-cos52
    14·1 answer
  • The digits of a two-digit number sum to 8. When the digits are reversed the resulting number is 18 less than the original
    8·2 answers
  • Given that f(1)=2 and f'(1)=4, find the derivative of f(x)loge(x) when x=1
    13·1 answer
  • Parker ran 600 meters, 7 kilometers, and 1,000 centimeters.
    6·1 answer
  • You are moving to a new apartment and need to hire a moving company. You’ve researched local moving companies and found these pr
    10·1 answer
  • What is the equation of the line that has a slope of 4?
    8·1 answer
  • What is 5+ (-5) ?????
    11·2 answers
  • Please help. thank you
    7·1 answer
  • Please answer need to turn it in please help me answer
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!