Finding Constants for a Piecewise Defined Function

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The discussion focuses on finding constants a and b for a piecewise defined function to ensure continuity at x = 6. The correct approach involves setting the limits from both sides equal: $$\lim_{{x}\to{6-}} (20) = \lim_{{x}\to{6+}} (8x+a)$$. This establishes that for the function to be continuous, the left-hand limit must equal the right-hand limit. The participants confirm that this method is valid for determining the constants.

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Mille89
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hi(Smile)
I need some start help finding the two constants a and b:

Do i start like this?:
$$\lim_{{x}\to{6-}} (20) = \lim_{{x}\to{6+}} (8x+a)$$View attachment 8782
 

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Hi, and welcome to the forum.

Do i start like this?:
\lim_{{x}\to{6-}} (20) = \lim_{{x}\to{6+}} (8x+a)
If you need the function to be continuous, then yes.

You can typeset your formulas by enclosing them in $$...$$ tags (button with $\sum$ on the toolbar) or dollar signs.
 
Evgeny.Makarov said:
Hi, and welcome to the forum.

If you need the function to be continuous, then yes.

You can typeset your formulas by enclosing them in $$...$$ tags (button with $\sum$ on the toolbar) or dollar signs.

Thank you(Smile)(Yes)
 

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