anonymous
  • anonymous
I need some serious help please :(.. Make a summary table with these headings shown for each graph: Interval, Sign of Function, Sign of Slope, Change in Slope I dont know how to figure out these??
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
this is the graph i got with the question : pic.twitter.com/7aVfNYi4
anonymous
  • anonymous
here, can u see this?
1 Attachment
anonymous
  • anonymous
Interval Table X Y -4 close to zero -2 0.2 0 1 0.5 2 1 Infinity 2 1 3 0.2

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anonymous
  • anonymous
at the back of the book, the intervals are x<1 and x>1
anonymous
  • anonymous
i understand the intervals, but not the rest of them like sign of slope..
anonymous
  • anonymous
sign of functions f(x)= infinity, if x=1 f(x)=1 to infinity, if interval is from 02 f(x)=1 to approach zero, if interval is from x<-2
anonymous
  • anonymous
where did you get 0.25 and 0.2 from?
anonymous
  • anonymous
sign of slope and change of slope y2- y1 slope m=------- x2 - x1 from interval [-2,-1], f(-2)=0.2 , f(-1)=0.25 therefore 0.25-0.2 0.05 0.05 m1=-----------=--------= --------= 0.05 positive slope here -1-(-2) -1+2 1 from interval [-1,0], f(-1)=0.25 f(0)=1 0.25-1 -0.75 m2=---------=-----------= +0.375 still positive here -1-1 -2 the slope here is increasing from positive 0.05 to 0.375
anonymous
  • anonymous
look at the graph x=-1, y=f(-1)=0.25 x=-2, y=f(-2)=0.2
anonymous
  • anonymous
those are only approximation and assumption only to be able to know if you are on positive or negative slope changing decreasing or increasing
anonymous
  • anonymous
but if the sign is change from positive to negative it is decreasing function and from negative to positive sign it is increasing functon
anonymous
  • anonymous
ohhh it makes sense!! and then you do the same thing to the other side right, because what you did was x<1 (for slope) and then I do x>1 ?
anonymous
  • anonymous
next try that from interval [2,1] or from x=2 and x=1 find f(2)=? , and f(1)=? then find out if it is increasing or dec
anonymous
  • anonymous
yeah......try that
anonymous
  • anonymous
okay so f(2)=1 and f(3)=0.25 Slope= 0.25 - 1 / (3-2) = -0.75 f(3)= 0.25 f(4)= 0.02 slope= 0.02-0.25 / (4-3) =-0.23 Negative and decreasing!!! :D
anonymous
  • anonymous
Thank you so much!!
anonymous
  • anonymous
yessssss....good luck now and enjoy lol :D
anonymous
  • anonymous
YW

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