First we looked at how to find the :

1)domain & range

2)horizontal asymptote

3)x & y intercepts of the graph

4)sketching the graph

1) To find the domain and range we look at the graph and see how far the graph stretches on the x axis. For this function the graph is going to negative infinity and to infinity.

2) The horizontal asymptote for this graph is y=0. This is because the function will never touch 0. The line y=0 is the x axis.

3) This function has no x intercepts because it will never touch the x axis. The y intercept of this function is 1/4 because to find the y intercepts we let x=0.

-2^(x-4)

x=1/4

4) To sketch the graph we sketch the graph of 2^x and just move it 2 units to the right.

After that question we did a similar one to it except there was another wrinkle added.

g(x)=-2^(x+2)

I wont explain this one is detail since it is similar to the first one. However in this one there is a negative infront of the 2. Here we have to look carefully and see that there are no brackets with the negative. Therefore we have to work on the exponent first.

2^(x+2)

Then we add the negative sign afterward.

I cant remember if this was in the afternoon class or not but he gave us a table and wanted us to find the inverses for each function.

I believe that this wasn't a very hard concept. Basically we just plug in the x value and find out what the result is. For the green graph we took the inverse of the other graph.

Then we looked at flipping a graph over the y=x line.

To graph a function over the y=x line you must switch the x values with the y values.

Then next came the most important part. We learned that logarithms are exponents. If you learned anything today, always remember that

**logarithms are**

**exponents.**

After we learned that logarithms are exponents we did a few questions on turning a log into an exponent.

I'm going to insert a slide in that space. Some reason it isn't working now. So I'll end it for now until I get home. Remember the LOGARITHMS ARE EXPONENTS* The scribe for tommorow will be Oliver.

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