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?

with explanations please , will like