limits

When I have a function written out, I can whip out a limit in no time, but when I have this, I'm lost. its just a piecewise looking thing.


For the function f whose graph is given, state the value of the given quantity, if it exists.

http://www.webassign.net/scalc/2-2-4.gif

http://www.webassign.net/www31/symIm...5d994044e5.gif

http://www.webassign.net/www31/symIm...3573b20bf5.gif

http://www.webassign.net/www31/symIm...026ab60444.gif

http://www.webassign.net/www31/symIm...28af622cdd.gif = does not exist (hey, I got one!!)

(e) f(3)

Hello,

Quote:

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Originally Posted by leftyguitarjoe

When I have a function written out, I can whip out a limit in no time, but when I have this, I'm lost. its just a piecewise looking thing.


For the function f whose graph is given, state the value of the given quantity, if it exists.

http://www.webassign.net/scalc/2-2-4.gif

http://www.webassign.net/www31/symIm...5d994044e5.gif

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You can do this one !
It's the value of f(x) when x tends to 0. You just have to read the graph.

Quote:

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http://www.webassign.net/www31/symIm...3573b20bf5.gif

http://www.webassign.net/www31/symIm...026ab60444.gif

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$\displaystyle 3^+$ means that you have to consider $\displaystyle x \to 3$, and $\displaystyle x>3$, that is to say the limit of f(x) if x comes from the right towards 3.
$\displaystyle 3^-$ is the same, but with $\displaystyle x<3$, from the left.

Quote:

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http://www.webassign.net/www31/symIm...28af622cdd.gif = does not exist (hey, I got one!!)

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Yup, because limits from the right and from the left are different.

Quote:

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(e) f(3)

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f(3) is on the graph, it's the red dot.

The empty dot means that it's not a point of the function.

Look at the graph. As x approaches 0 from both sides, what value of y is the graph approaching?

If you've done d, then how come you can't do b and c? Simply look at the graph and write down the y-value as x approaches 3 from the positive side (right side) and from the negative side (left side).

f(3) has an image. It is usually denoted by a filled dot. What is the y-value (image)?

ok,

http://www.webassign.net/www21/symIm...5d994044e5.gif = 3

I got that one.(Clapping)

Got another one.

f(3) = 3


I getting this down now.

And now I have them all(Cool)

thanks guys!!!(Rock)