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
Aliun [14]
3 years ago
8

The function f(x) is defined as,

ormula1" title="f(x) = 3 + \frac{1}{2x-5}" alt="f(x) = 3 + \frac{1}{2x-5}" align="absmiddle" class="latex-formula">, x ≠ \frac{5}{2}
(a) Sketch the curve of f for -5 ≤ x ≤ 5, showing the asymptotes.

(b) Using your sketch, write down
(i) the equation of each asymptote;
(ii) the value of the x-intercept;
(iii) the value of the y-intercept.

Image attached.

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

a) look at the figure

b) i) x = 2.5 , y = 3

   ii) x-intercept is 2.333

   iii) y-intercept is 2.8

Step-by-step explanation:

a) The points of the graph f(x) = 3+1/2x - 5 are:

f(-5) = 2.9333

f(-4) = 2.923

f(-3) = 2.909

f(-2) = 2.888

f(-1) = 2.857

f(0) = 2.8

f(1) = 2.666

f(2) = 2

f(3) = 4

f(4) = 3.333

f(5) = 3.2

b)

i) to find the vertical asymptotic put the denominator = 0

  2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 5 ÷ 2 = 2.5

∴ The equation of the vertical asymptotic is x = 2.5

To find the horizontal asymptotic look at the degree of the numerator and denominator

∵ they are equal f(x) = (6x -14)/(2x - 5) ⇒ 6x ÷ 2x = 3

∴ The equation of the horizontal asymptotic is y = 3

ii) the value of x-intercept means put f(x) = 0

∴3 + 1/2x - 5 = 0 ⇒ 1/2x - 5 = -3 ⇒ -6x + 15 = 1 ⇒ 6x = 14

  x = 14/6 = 2.333

iii) The value of y-intercept means x = 0

∴ f(x) = 3 + 1/0 - 5 = 3 + (-0.2) = 2.8

You might be interested in
PLZ HELP!!!!!
Ronch [10]

Kg to Pounds

8.3 kg in ponds is 18.26 lb

Kg to Ounces

8.3 kg in ounces is 292.16 oz

Step-by-step explanation:

We need to convert 8.3 kg to pounds and ounces

The conversion ratio is:

  • 1 lb = 16 oz
  • 1 kg = 2.2 lb  

Converting kg to pounds(lb)

We know 1 kg = 2.2 lb

So, 8.3 kg = 8.3*2.2 lb

8.3 kg = 18.26 lb

So, 8.3 kg in ponds is 18.26 lb

Converting kg to ounces (oz)

We know that: 1 lb = 16 oz

We have converted 8.3 kg into 18.26 lb (pounds)

So, 1 lb = 16 oz

18.26 lb = 18.26*16 oz

18.26 lb =292.16 oz(ounces)

So, 8.3 kg in ounces is 292.16 oz

Keywords: Conversion of units

Learn more about Conversion of units at:

  • brainly.com/question/10940255
  • brainly.com/question/4736384
  • brainly.com/question/118412

#learnwithBrainly

8 0
3 years ago
Suppose you order a pizza with a diameter of
Valentin [98]

Answer: 9

Step-by-step explanation: if the diameter of the pizza is 18 inches then the radius would be half of that, 9.

3 0
3 years ago
The radius of circle O is 24 and OC = 13. Find AB.
irinina [24]

Answer:

what does oc mean?

Step-by-step explanation:

7 0
3 years ago
What is y-4=3(x+3)<br><img src="https://tex.z-dn.net/?f=y%20-%204%20%3D%203%28x%20%2B%203%29" id="TexFormula1" title="y - 4 = 3(
aleksandr82 [10.1K]

Answer:

y-4=3(x+3)

y-4=3x+9

y-4+4=3x+9+4

y=3x+13

6 0
3 years ago
Express 5.26 x 10^6 in standard form.
Alex

Answer:

5260000x

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • you are told that the sun pf another two whole numbers is 20 ans thair differnece is 15 is this possible
    14·1 answer
  • Find the slope of the line. <br><br> a. 7<br> b. -7<br> c. 1/7<br> d. -1/7
    5·2 answers
  • What is 763 factorial
    5·1 answer
  • If 14 is 35% of a value, what is that value?<br> A. 21<br> B. 86<br> C. 65<br> D. 40
    10·1 answer
  • Write the equation for a line that goes through the points 0,7 and 9,2
    10·1 answer
  • 5 is what percent of 250?
    14·1 answer
  • A line passes through point (-8,-6) and has a slope of
    7·1 answer
  • Does anyone know the answer to this
    7·1 answer
  • Joe was driving on the highway a car ahead of him was driving far below the speed limit so he decided to pass. In the first seco
    11·1 answer
  • Christopher walks 5km south then walks on a bearing of 036º until he is due east of his starting point. How far is he from his s
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!