Friday
May 6, 2016

# Homework Help: math

Posted by sonya on Thursday, January 24, 2008 at 6:32pm.

x^3-4x-2 [2,3]

we have to use the intermediate value thereom. not sure how to do this.
• math - Damon, Thursday, January 24, 2008 at 7:30pm

x^3-4x-2 [2,3]
the function is continuous between 2 and 3
at 2 f(2) = -2
at 3 f(3) = +13

The theorem states that for every number N between -2 and +13, there is some x between 2 and 3 such that f(x) = N

Now they did not give you an N so I will say 5 for example is between -2 and +13

The theorem says that some x between 2 and 3 will come out with f(x)= 5

I would have to solve it by trial and error but I know to start between 2 and 5
x f(x)
2 -2

try 2.5 --> 3.63 too small
try 2.7 --> 6.88 too big
try 2.6 --> 5.18 closer, a bit big
try 2.58 -> 4.85 a little small
try 2.585-> 4.93 well you get the idea

3 13

The theorem says that
The text passage contains a mathematical question related to the Intermediate Value Theorem and provides a detailed explanation and example of how to apply the theorem to find a value of x for which f(x) = N, where N is a number between f(2) and f(3).
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Friday
May 6, 2016

# Homework Help: math

Posted by sonya on Thursday, January 24, 2008 at 6:32pm.

x^3-4x-2 [2,3]

we have to use the intermediate value thereom. not sure how to do this.
• math - Damon, Thursday, January 24, 2008 at 7:30pm

x^3-4x-2 [2,3]
the function is continuous between 2 and 3
at 2 f(2) = -2
at 3 f(3) = +13

The theorem states that for every number N between -2 and +13, there is some x between 2 and 3 such that f(x) = N

Now they did not give you an N so I will say 5 for example is between -2 and +13

The theorem says that some x between 2 and 3 will come out with f(x)= 5

I would have to solve it by trial and error but I know to start between 2 and 5
x f(x)
2 -2

try 2.5 --> 3.63 too small
try 2.7 --> 6.88 too big
try 2.6 --> 5.18 closer, a bit big
try 2.58 -> 4.85 a little small
try 2.585-> 4.93 well you get the idea

3 13

The theorem says that
user
The text passage contains a mathematical question related to the Intermediate Value Theorem and provides a detailed explanation and example of how to apply the theorem to find a value of x for which f(x) = N, where N is a number between f(2) and f(3).

TYPE: SINGLE_QUESTION_WITH_ANSWER