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Finding a value that will make a function continuous

shle

New member
Feb 1, 2012
4
Hi All, just a question regarding continuous functions.
From what I understand if x > 2, then any value of 'a' should make this function continuous? Any clarification would be very helpful!



Thanks in advance!
 

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pickslides

Member
Feb 1, 2012
57
Try 5(2)-1 = a(2)^2+1 solve for a
 

shle

New member
Feb 1, 2012
4
Thank you, I get a = 2. Can you please explain to me the intuition behind that? Why is it that I have to use 5(2)-1 = a(2)^2+1 and solve for a?
 

pickslides

Member
Feb 1, 2012
57
For the function to be continuous at x=2, then they must be equal at that point.