Not sure how the answers were achieved in this graph

  • Thread starter Thread starter hyde2042
  • Start date Start date
  • Tags Tags
    Graph
AI Thread Summary
The discussion revolves around understanding how to derive function values from a given graph. The user initially struggles with determining the domain and range for specific functions labeled a-d, which appear as straight lines. Clarification is provided that the task is to read the function values at specified x-values directly from the graph. The user acknowledges this misunderstanding and expresses gratitude for the assistance. The conversation highlights the importance of correctly interpreting graph data in mathematical problems.
hyde2042
Messages
26
Reaction score
0

Homework Statement


http://i.imgur.com/vqyXW.png




Homework Equations





The Attempt at a Solution



I got the DOmain and Range of the graph, but then it says to do the same for the functions a-d. If you graph them then they are all straight lines so there's really only a domain.

But when I checked at the back of the book, the answers came to be

A)0
B)-1
C)0
D)-2

I'm sure I'm missing something. Any help is appreciated. Thank you.
 
Physics news on Phys.org
You are misunderstanding that part of the problem. They are just asking you to use the graph to read off the values of the function f(x) at each of the indicated values of x .
 
Ah, I see. THank you very much.
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks

Similar threads

Back
Top