standard_description: Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.
problem_activity: Problem 1
Given the graph below, over which interval is the average rate of change the greatest? Explain your reasoning.
[IMG]
a. Between
$${f(4)}$$
and
$${f(10)}$$
b.
$${10 \leq x \leq 15}$$
c. Between
$${(0,0)}$$
and
$${(4,11)}$$
d. From
$${x=0}$$
to
$${x=10}$$
Problem 2
The table below defines the relationship
$${y=f(x)}$$
.
Find the average rate of change from
$${f (0)}$$
to
$${f(5)}$$
.
|  $$x$$   | 0  | 0  | 4 | 5 |
|----------|----|----|---|---|
| $$f(x)$$ | 26 | 17 | 5 | 1 |
Problem 3
You leave from your house at 12:00 p.m. and arrive to your grandmother’s house at 2:30 p.m. Your grandmother lives 100 miles away from your house.
What was your average speed over the entire trip from your house to your grandmother’s house?


aligns: no