standard_description: Prove the Pythagorean identity sin^(2)(θ) + cos^(2)(θ) = 1 and use it to find sin(θ), cos(θ),or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
problem_activity: Problem 1
You are selling cookies for a fundraiser. You have a total of 25 boxes to sell, and you make a profit of $2 on each box. The profit you make
$${p(n)}$$
is a function of the number of boxes you sell,
$$n$$
.
a.   Write an equation that represents this function, in function notation.
b.   Describe the domain of this function. Then write an inequality to represent the domain.
c.   Describe the range of this function.
Problem 2
Below is a graph of the linear function represented contextually above. Mark the domain on the graph, using vertical lines, and the range on the graph, using horizontal lines.
[IMG]
Problem 3
What is the domain and range of this function?
[IMG]


aligns: no