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FIND THE VALUE OF K THAT MAKES THE FUNCTION CONTINUOUS
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Find the value of the constant k that makes the function f continuous.
When we see piecewise functions like this and our goal is to make sure it is continuous everywhere, there are two cases we want to consider separately:
1. making each individual piece continuous on its reduced domain, and
2. making the different pieces line up when our function switches between them.
If we know that each piece is a linear function regardless of the constant k, then we can forget about making sure each piece in continuous on its own domain and apply this shortcut. Here I'll show you the quick and easy way to find the value of the constant k that will make the piecewise function continuous for all real numbers.
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When we see piecewise functions like this and our goal is to make sure it is continuous everywhere, there are two cases we want to consider separately:
1. making each individual piece continuous on its reduced domain, and
2. making the different pieces line up when our function switches between them.
If we know that each piece is a linear function regardless of the constant k, then we can forget about making sure each piece in continuous on its own domain and apply this shortcut. Here I'll show you the quick and easy way to find the value of the constant k that will make the piecewise function continuous for all real numbers.
READ MORE
YOU MIGHT ALSO BE INTERESTED IN...
Some links in this description may be affiliate links meaning I would get a small commission for your purchase at no additional cost to you.
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