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
Genrish500 [490]
3 years ago
10

Which of the following rational functions is graphed below?​

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

Answer:

The correct option is D.

i.e.

f\left(x\right)=\frac{1}{x\left(x+4\right)} is the correct option.

The correct graph is shown in attached figure.

Step-by-step explanation:

Considering the function

f\left(x\right)=\frac{1}{x\left(x+4\right)}

\mathrm{Domain\:of\:}\:\frac{1}{x\left(x+4\right)}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

\mathrm{Range\:of\:}\frac{1}{x\left(x+4\right)}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:-\frac{1}{4}\quad \mathrm{or}\quad \:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{1}{4}]\cup \left(0,\:\infty \:\right)\end{bmatrix}

\mathrm{Axis\:interception\:points\:of}\:\frac{1}{x\left(x+4\right)}:\quad \mathrm{None}

\mathrm{Extreme\:Points\:of}\:\frac{1}{x\left(x+4\right)}:\quad \mathrm{Maximum}\left(-2,\:-\frac{1}{4}\right)

So, the correct graph is shown in attached figure.

Therefore, the correct option is D.

i.e.

f\left(x\right)=\frac{1}{x\left(x+4\right)} is the correct option.

You might be interested in
Which of the following uses parallel construction? Select one: a. Jim likes to hunt, bike, and throwing darts. b. Mimie has to s
lana66690 [7]

Answer:

The correct answer is:

c. Joe will go running, biking and hunting

Step-by-step explanation:

Parallel construction or parallelism or parallel structure is a style used in writing a sentence, where there is a balance in phrases or clauses within one or more sentences by them having the same grammatical structure. parallelism adds elegance, clarity and symmetry to sentences. It essentially has to so with a repetition of a chosen grammatical form within a sentence.

In our example:

a.  Jim likes to hunt, bike, and throwing darts. (not parallel)

    Jim likes to hunt, bike, and throw darts (parallel)

The verbs, hunt, bike and throw must be in the same form (present continuous) to be parallel

b. Mimie has to study, drive her sister to the store, and enjoy herself in the garden. (not parallel).

The sentence in option b is not parallel because the other actions apart from "study" have a place where they took place; drive her sister to the store, enjoy herself in the garden, however, "study" doesn't have a place where the action occurs.

c. Jane will throw a ball, then she will mow the lawn. (not parallel)

the sentence is not parallel because there is an inconsistency in the pattern of the construct. a parallel version is:

Jane will first throw a ball, then she will mow the lawn, or

jane will throw a ball and mow the lawn.

d. Joe will go running, biking, and hunting. (parallel)

all the verbs are in the present continuous form.

6 0
3 years ago
Simplify the following expression.<br> 3x4 + 2x3 - 5x2 + 4x2 + 6x-2x-3x4 +7XS - 3X3
Sergio [31]

Answer:

39+4x

Step-by-step explanation:

Since two opposites add up to zero, remove them from the expression

2x3-5x+2+4x2+6x-2x+7x5

Calculate the sum or difference

39+6x-2x

5 0
2 years ago
The table shows all the possible sums when rolling two numbers cubes numbered 1-6 what is the probability that rolling two cubes
Drupady [299]

Answer:

Step-by-step explanation:

D

4 0
3 years ago
Read 2 more answers
Which is most likely the correlation coefficient for the set of data shown?
maks197457 [2]
-0.91 is mostly likely the correlation coefficient for the set of data shown
7 0
2 years ago
Read 2 more answers
Carmen drove
Aleonysh [2.5K]
522 divide 9= 58           58=1hour   58 x 4=232 add 232 to 522 =754
7 0
3 years ago
Read 2 more answers
Other questions:
  • Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she s
    7·1 answer
  • Decide whether the sequence is arithmetic geometric or neither 5,-10,20, -40
    14·1 answer
  • Simplify √ 144x2 <br><br> A. 8x2√ 6 <br> B. 2x2√ 2 <br> C. 8√ 6x <br> D. 12x
    15·2 answers
  • Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have
    13·2 answers
  • 20 POINTS !! HELP FAST Cindy and Giovanni plan to make spaghetti sauce. Cindy needs 4 3/4 pounds of tomatoes for her recipe. Gio
    14·2 answers
  • What is the fourth term of the sequence a1=m an= 2an-1
    13·1 answer
  • Please help me there is a picture below,will mark you as brainlest!<br> Thank You :)
    12·2 answers
  • Hellppp asapppp tysmm
    7·2 answers
  • Pls pls pls answer quick
    15·1 answer
  • Giving brainliest! Which of the following integers are opposites? Select all that apply (Can be more than 1 answer)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!