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
motikmotik
2 years ago
5

Find the intervals on which the function is increasing or decreasing.

Mathematics
1 answer:
Assoli18 [71]2 years ago
6 0
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.

f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:

Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
You might be interested in
if you multiply both sides of an equation by the same number the new equation will have the same solution
asambeis [7]

Answer:

Yes, the new equation that we get after multiplying the same number to both sides of an equation, will have the same solution.

Step-by-step explanation:

Yes, the new equation that we get after multiplying the same number to both sides of an equation, will have the same solution.

This is because we know from the property of an equation that common numbers of two sides of an equation cancel each other and the equation gets simplified.

So, if we multiply the same number to both sides of an equation then the common multiplier gets automatically canceled out and finally, the original equation remains the same.  

4 0
2 years ago
Please help!
olchik [2.2K]
The tax is $1.253 hope this helps!
3 0
3 years ago
Read 2 more answers
Write 27/40 as a decimal.
Alecsey [184]

Answer:

0.675

Step-by-step explanation:

27/40

- Divide each number by 10

2.7/4

- Multiply each number by 25

67.5/100

Convert that into a decimal. :)

4 0
2 years ago
Read 2 more answers
Plz help!! Given: DE is a midsegment of ABC. Show all work.
topjm [15]

Answer:

AC=14

X=10

Y=1

Hoped this helped!

Step-by-step explanation:

DE is half of BC, therefore x=10. AE and EC have to be the same length, which is 7. SO, y=1 and x is 10.

5 0
2 years ago
The points plotted below are on the graph of a polynomial. In what range of
Irina-Kira [14]

Answer:

the answer is 0 to 1 and 3 to 4

7 0
2 years ago
Other questions:
  • The cost to rent a raft is $7 per person. A raft can hold up to 6 people. There is a $3 launch fee per raft. What is the total c
    11·1 answer
  • What is the center of the equation X^2+y^2-4x-8y-16=0
    15·1 answer
  • (0,8), m = -4 solve for m what is the slope
    13·1 answer
  • Philip has 25$ gift card to his favorite restaurant he wants to use the gift card to buy lunch if c represent the cost of his lu
    11·1 answer
  • Rectangle is 2/5 in. long and 1/3 in. wide.
    5·1 answer
  • What is the area of this shape? Explain why?
    5·1 answer
  • The numerator of the simplified sum is
    10·1 answer
  • What is the value of 2\5 + 3\7?
    14·1 answer
  • How much of the circle is shaded? Write your answer as a fraction in simplest form.
    5·1 answer
  • Select the function that represents the simple interest formula
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!