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Can someone explain how you know when to put <= or >= in a finding the range/ domain question?

I'm struggling with this.. :frown:
(edited 8 years ago)
Original post by ridirahman
Can someone explain how you know when to put <= or >= in a finding the range/ domain question?

I'm struggling with this.. :frown:


Is it bigger or smaller than the number?
If bigger >=
If smaller <=

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Original post by Andy98
Is it bigger or smaller than the number?
If bigger >=
If smaller <=

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So for example; The function g is defined by g x^2 4x + 11,
(b) Find the range of g.

I got y=7 so how do you know if it's y>= 7 or y<=7 ?
(edited 8 years ago)
Original post by ridirahman
So for example; The function g is defined by g x^2 4x + 11,
(b) Find the range of g.

I got y=7 so how do you know if it's y>= 7 or y<=7 ?


Is that a minimum or maximum?

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Original post by ridirahman
So for example; The function g is defined by g x^2 4x + 11,
(b) Find the range of g.

I got y=7 so how do you know if it's y>= 7 or y<=7 ?


Draw the function by completing the square - once you have draw in you will know but it has to be bigger than 7 if the x^2 is positive... I think
Is this relevant? Doesn't seem to be in the book..

Capture.PNG
Original post by Jimmy_M
Is this relevant? Doesn't seem to be in the book..

Capture.PNG


I think this is part of a further core module so I would presume not
Original post by Jimmy_M
Is this relevant? Doesn't seem to be in the book..

Capture.PNG


I know OCR don't test it, but it's helpful to have a rough understanding that sometimes the iterative formula won't converge

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Someone pleaseeeeeee helpppp ImageUploadedByStudent Room1433887920.628872.jpg


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Original post by Andy98
I know OCR don't test it, but it's helpful to have a rough understanding that sometimes the iterative formula won't converge

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Original post by Artfanatic
I think this is part of a further core module so I would presume not

Alright, thanks for your replies :smile:
Original post by Medicjug
Someone pleaseeeeeee helpppp ImageUploadedByStudent Room1433887920.628872.jpg


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the first part r= sqrt(1^2+sqrt3^2)
and a tan^-1 (sqrt3/1)
i think
and i would be ****ed if b came up in the exam
Original post by RK1998
Any tips for trig factor formulae?I can't do any questions involving those. The rest of trig is good but this is just. Please someone help me.


Help?
untitled.JPG

how do you do c) ???
Original post by RK1998
can you show the whole question?


untitled.JPG

don't know how to find the range in part c) ?
Original post by ridirahman
untitled.JPG

don't know how to find the range in part c) ?


is it y is bigger than or equal to 3
Original post by imedico10
is it y is bigger than or equal to 3


yeahh how did you get that? can you explain?
Original post by ridirahman
yeahh how did you get that? can you explain?


i'll try my best... according to f(x) x must be bigger than zero.

the graph for fg is 3e^x +x^2 ..... is you sub x=0 you get y as 3.... after 3... y keeps increasing exponentially so the range (values of y) is bigger than 3. hope this helps :smile:

this image shows what im trying to say
Capture.PNG
Why is this the case? Am I missing something obvious?!?!
Original post by Jimmy_M
Capture.PNG
Why is this the case? Am I missing something obvious?!?!


divde the denominator and numerator by e^0.3t
Original post by imedico10
divde the denominator and numerator by e^0.3t


Oh.. So i was just being an idiot really... LOL thanks for the help :smile:

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