Let f(x) = 2 Domain: x less than or equal to -1

= ax+b Domain: -1 less than x or less than 3

= -2 Domain: x greater or equal to 3

Find a and b such that f is continuous.

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- Jul 27th 2006, 12:06 PMNimmyCalculus I Homework Help
Let f(x) = 2 Domain: x less than or equal to -1

= ax+b Domain: -1 less than x or less than 3

= -2 Domain: x greater or equal to 3

Find a and b such that f is continuous. - Jul 27th 2006, 12:57 PMearbothQuote:

Originally Posted by**Nimmy**

I've attached a diagram to show you what you have to calculate:

In short: There are 2 points which are connected by a straight line. So you know 2 points of this line. Use the 2-point-formula of a line to get the equation.

(You should get f(x)=-x+1, -1 < x < 3)

Greetings

EB - Jul 27th 2006, 01:22 PMThePerfectHackerQuote:

Originally Posted by**Nimmy**

However we need to check

Let us do -1 first,

By definition of countinuity we need that,

Thus,

But the limit from the left is same as,

And the limit from the right is same as,

Thus,

Similarly, if we do this for we have,

From these two equations we have,