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
Vadim26 [7]
3 years ago
14

use the intermediate value theorem to determine whether the following equation has a solution or not x^3-3x-1

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

Yes, this equation has a solution. According to Intermediate Value Theorem at least one solution for [0,2]

Step-by-step explanation:

Hi there!

1) Remember a definition.

Intermediate Value Theorem:

If f is continuous on a given closed interval [a,b], and f(a)≠f(b) and f(a)<k<f(b) then there has to be at least one number 'c' between 'a' and 'b', such that f(c)=k

----

(Check the first graph as an example)

2) The Intermediate Value Theorem can be applied to determine whether there is a solution on a given interval.

Let's choose the interval [0,2]

f(x)=x^{3}-3x-1\\f(0)=(0)^{3}-3(0)-1\\f(0)=-1\\f(0)

Proceed to the other point: 2

f(x)=x^{3}-3x-1\\f(2)=(2)^{3}-3(2)-1\\f(2)=1\\f(2)>0\\

3) Check the 2nd Graph for a the Visual answer, of it.  And the 3rd graph for all solutions of this equation.

You might be interested in
How to calculate the area of a triangle with the hypotenuse as an arc?
agasfer [191]
The arc of the triangle 
7 0
3 years ago
What is the slip of the line 4x-2y=5
Eddi Din [679]

If you mean slope.. the equation to set up is y=mx+b. Using this, and finding out the answer m=2.

Hope this helped!

4 0
3 years ago
If ABC is reflected across the y-axis, what are the coordinates of A?
quester [9]

Answer:

The answer is option A

Step-by-step explanation:

Reflection in the y axis is

(x , y) → ( - x , y)

The coordinates of A are ( 2, -5)

When it's reflected in the y axis it becomes

( - 2 , - 5)

Hope this helps you

4 0
3 years ago
line a passes through the points(-4,-6) and (2,12) Library passes through the points (6,0) and (-4,20) find the point where line
Eddi Din [679]

Answer:


Step-by-step explanation:


8 0
3 years ago
Analyze the graph. Which inequality represents the
Anna007 [38]

Step-by-step explanation:

Option B

8 0
3 years ago
Read 2 more answers
Other questions:
  • The Peterson's drove 562.5 miles in 12.3 hours. The Castillo's drove 353.6 miles in 8 hours. On average, who was driving at a fa
    6·1 answer
  • The shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall. Write an absolute value equ
    8·2 answers
  • What is 1.15 rounded to the nearest tenth
    7·1 answer
  • BRAINLIESTTTT ASAP!<br><br> please answer
    14·1 answer
  • The height of trapezoid VWXZ is 8 StartRoot 3 EndRoot units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle
    7·1 answer
  • Round 0.486 to the nearest hundredth
    8·2 answers
  • Sheila drew the diagram below.<br><br><br><br> Based on the diagram, which statement is true?
    12·1 answer
  • Can see please help me with the 2 equations (in the picture) find x
    14·1 answer
  • What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2
    14·1 answer
  • Help with thissssssss
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!