1. ## 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.

= does not exist (hey, I got one!!)

(e) f(3)

2. Hello,
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.

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

$\displaystyle 3^+$ 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.

= does not exist (hey, I got one!!)
Yup, because limits from the right and from the left are different.

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

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

3. 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)?

4. ok,

= 3

I got that one.

5. Got another one.

f(3) = 3

I getting this down now.

6. And now I have them all

thanks guys!!!