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sabika13

  • 2 years ago

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??

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  1. sabika13
    • 2 years ago
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    this is the graph i got with the question : pic.twitter.com/7aVfNYi4

  2. sabika13
    • 2 years ago
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    here, can u see this?

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  3. mark_o.
    • 2 years ago
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    Interval Table X Y -4 close to zero -2 0.2 0 1 0.5 2 1 Infinity 2 1 3 0.2

  4. sabika13
    • 2 years ago
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    at the back of the book, the intervals are x<1 and x>1

  5. sabika13
    • 2 years ago
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    i understand the intervals, but not the rest of them like sign of slope..

  6. mark_o.
    • 2 years ago
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    sign of functions f(x)= infinity, if x=1 f(x)=1 to infinity, if interval is from 0<x<1 f(x)=infinity to 1, if interval is from1<x<2 f(x)=1 to approach zero, if interval is from x>2 f(x)=1 to approach zero, if interval is from x<-2

  7. sabika13
    • 2 years ago
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    where did you get 0.25 and 0.2 from?

  8. mark_o.
    • 2 years ago
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    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

  9. mark_o.
    • 2 years ago
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    look at the graph x=-1, y=f(-1)=0.25 x=-2, y=f(-2)=0.2

  10. mark_o.
    • 2 years ago
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    those are only approximation and assumption only to be able to know if you are on positive or negative slope changing decreasing or increasing

  11. mark_o.
    • 2 years ago
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    but if the sign is change from positive to negative it is decreasing function and from negative to positive sign it is increasing functon

  12. sabika13
    • 2 years ago
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    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 ?

  13. mark_o.
    • 2 years ago
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    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

  14. mark_o.
    • 2 years ago
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    yeah......try that

  15. sabika13
    • 2 years ago
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    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

  16. sabika13
    • 2 years ago
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    Thank you so much!!

  17. mark_o.
    • 2 years ago
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    yessssss....good luck now and enjoy lol :D

  18. mark_o.
    • 2 years ago
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    YW

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