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
ratelena [41]
3 years ago
13

Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the grap

h.
Mathematics
1 answer:
kap26 [50]3 years ago
3 0
1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36

2) x-intercept => y = 0 => factor the function (start by dividing by x -2)

f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)

3) critical points:

between x = 2 and x = 3, there is a local maximum

between x =3 and x = 6 there is a local minimum

3) Shape.

The function comes growing from - infinity.

In the third quadrant the function is negative (it does not pass throuhg the second quadrant)

It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.

 It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.
You might be interested in
Which expression represents the area of a square with sides of length 3xy??
monitta

Answer:

9x^2y^2

Step-by-step explanation:

Ok so to find the area of a square we have to square the side length. So 3xy*3xy = 9x^2y^2 because 3*3=9, x*x=x^2, and y*y=y^2.

4 0
2 years ago
D
yawa3891 [41]
Please comment on this so I can see the full question
4 0
2 years ago
Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.
frosja888 [35]

Answer:

  • See below

Step-by-step explanation:

<u>Use the slope-intercept form, which will be in this case:</u>

  • g(u) = mu + b, where m is the slope, b is the y- intercept

<u>Find the slope:</u>

  • m=(y_2-y_1)/(x_2-x_1)
  • m=(-8-5)/(-5-20)=(-13)/(-25)=13/25

<u>Find the value of the y-intercept:</u>

  • 5=1/25*20+b
  • b=5-4/5=21/5

<u>The equation is:</u>

  • g(u)=\frac{13}{25} u+\frac{21}{5}
3 0
2 years ago
Out of a food critic, social worker, radio DJ, and a computer game designer which career would you most likely apply concepts fr
Elden [556K]
A computer game designer.
5 0
2 years ago
Read 2 more answers
Find the value of x.
Slav-nsk [51]

Answer:

  x = 53

Step-by-step explanation:

The sum of the angle measures in a triangle is 180°:

  91° + 36° + x° = 180°

  x° = 180° -127° = 53°

  x = 53

6 0
2 years ago
Other questions:
  • Sherman goes golfing every 6th day and Brad goes golfing every 7th day. If Sherman and Brad both went golfing today, how many da
    13·2 answers
  • How can I use operations to model real world problems?
    7·1 answer
  • How do I solve this problem step by step. -10( -4 - 2j
    6·1 answer
  • 3/8 x 2/6 x 4/8 x 5/12
    5·1 answer
  • Find the distance between A (2.6) and N (5,10). Round to the nearest tenth, if necessary.
    11·1 answer
  • the height of the gateway arch shown on the Missouri quarter is 630 feet or 7560 inches.find how many 4 inch stacks of quarters
    12·1 answer
  • Can Someone Help Me?
    12·1 answer
  • Can someone help with this too
    12·1 answer
  • Help pleaseee!!!!!!!!!!!!!!!!
    5·1 answer
  • Determine if 75 is rational or irrational and give a reason for your answer.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!