1. For the following graph on the interval x1=10 through x2=20.

   1. Determine the average rate of change.

   2. Determine the concavity on the interval x1=10 through x2=20. What is happening to the average rate of change on this interval?

and

1. For the following functions

f(x)=x^4 and g(x)=(x-3)^4

1. Do f(x) and g(x) differ by a 3 unit horizontal shift? How can you tell this?

2. How would you change g(x) to have a 5 unit vertical shift?

3. After the 5 unit vertical shift, what would the y-intercept be?

and

1. A construction crew has 3 metal beams he would like to use in order to form a triangle for a support beam. The first beam is 10 meters long, the second beam is 15 meters long, the angle between these two beams is 20°.

   1. What would be the length of the last beam?

   2. What would the measure of each of the other two angles be?