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
nexus9112 [7]
3 years ago
14

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x3 − 6x2 − 24x + 1, [−2, 3] absolute m

inimum value absolute maximum value

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0

When looking for extremes on an interval, one must examine the turning points and the values of the function at the ends of the interval. Here the turning points are where the derivative is zero:. j

... 12x² -12x -24 = 0

... 12(x -2)(x +1) = 0

Since the turning points, x=-1, x=2, are in the interval we have four function values to compute.

... f(-2) = ((4(-2) -6)(-2) -24)(-2) +1 = -7

... f(-1) = ((4(-1) -6)(-1) -24)(-1) +1 = 15

... f(2) = ((4(2) -6)(2) -24)(2) +1 = -39

... f(3) = ((4(3) -6)(3) -24)(3) +1 = -17

This shows the extremes to be at the turning points.

The absolute minimum value is -39 at x=2.

The absolute maximum value is 15 at x=-1.

You might be interested in
2. Point A is located at (-8, -3) on the coordinate grid. If it is
musickatia [10]

Answer:

(-6, 6).

Step-by-step explanation:

The x-coordinate increases by 2 units and the y-coordinate by 9 units:

That is ( - 8 + 2, -3 + 9)

= (-6, 6).

7 0
3 years ago
The area of a bathroom floor is 24 square feet. If the width of the bathroom is 6 feet, what is the length of the bathroom?
natka813 [3]
L= WxH try that formula
8 0
3 years ago
Read 2 more answers
Compare the modeld for one third and two sixths
DochEvi [55]
1/3 is equal to 2/6
This is because 1/3 converted to 6ths you have to multiply 1/3 times 2 which equals 2/6
1/3 = 2/6
4 0
3 years ago
You have found the ages (in years) of 5 gorillas. Those gorillas were randomly selected from the 29 gorillas at your local zoo:
zalisa [80]

Answer:

the answer is 10

Step-by-step explanation:

(8+4+14+16+8)/5

8 0
2 years ago
Okay so! This is really urgent and it’s due really soon and I really don’t understand this question, could someone please help?
grandymaker [24]

Answer:

the square root of 80 is greater than the square root of 8.1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Natasha has 3 pounds of apples and 2 and 1/2 pounds of grapes if she gives 1/3 of a apples to Silvie how many pounds of apples d
    15·2 answers
  • Three students opened saving accounts. Mariama has saved $25.40. Shai saved 3/4 of the amount that Mariama saved. Nyah saved twi
    13·1 answer
  • The height of a coconut falling from a tree can be represented by the function h(t)=-16t^2 + 24, where h(t) is the height of the
    9·1 answer
  • Write an expression to match the words there times the sum of 8 and 4.
    13·1 answer
  • On a coordinate gride what is the distance between (1,3) and (6,15)
    11·2 answers
  • The following are test scores Karen received during the first marking period.
    7·1 answer
  • Find the surface area.
    9·2 answers
  • Please help me with this question.​
    9·1 answer
  • Which is more likely to happen?
    10·1 answer
  • Ella and Iris are planning trips to nine countries this year. There are 12 countries they would like to visit. They are deciding
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!