Synthetic Division, Intermediate Value Theorem and Asymptotes
Not what you're looking for?
21) Use synthetic division to find: f(?2)
f(x)=2x3?3x2+7x?12 21)
22) For the function f(x) = ?x3 + 8x2 ? 40
Show how to use synthetic division to find out if -1 is a zero.
22)
23) One of the zeros of the function f(x) = ? 7x2 + 17x ?15 is 2-i. Find all the other zeros.
23) ____________________
24) Use the intermediate value theorem to show that f(x) = 3x2 ? x ? 4 has a real zero between
1 and 2
24) _____
25) For the function: f(x)=
a) give the equation of any vertical, horizontal, or oblique asymptotes.
b) find the x-intercept(s) 25)aL.
c) find the y-intercept(s)
d) carefullysketchthegraph b)
c)
d)
4x2 1
26) Carefully sketch the graph of f(x)= 26)
x+1
27) Suppose p varies directly as z and inversely as m2 and r2.
Ifp= whenz 1, m 2,andr 3, findpwhenz 3,m 1,and r 8.
27) ____
keywords: IVT
Purchase this Solution
Solution Summary
Synthetic Division, Intermediate Value Theorem and Asymptotes are investigated. Zero functions for intermediate value theorems are determined
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
Solution to 21
--------------------------------------------------------------
x+2 |
-------------------------------------------------------------
------------------------------------------------------------
...
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.