2. Denise stands 28 feet east and 120 feet south of Aaron. Timothy stands 80 feet east and 78
feet north of Denise.
First, Aaron walks due south until he is exactly 100 feet from Denise. Then, he turns and
walks in a straight line towards Timothy.
When Aaron is closest to Denise, how far from Denise is he?
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1. (13 pts) The graph below shows a multi-part function,
, consisting of 3 line segments and half
of a circle. All questions below refer to this function. You do not have to show work in parts (a) and (b).
a) (8 pts) Write the multi-part rule for this function in terms of . Include corresponding domains.
{
b) (2 pts) What is the range of this function?
c) (3 pts) Find all solutions to the equation
You may use the graph, or solve
algebraically, but justify how you get your answers.
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4. The temperature in the city of Pleasantville is a quadratic function of time.
Today, the temperature is 70 Fahrenheit.
5 days from now, the temperature will be 67 Fahrenheit.
10 days from now, the temperature will be 68 Fahrenheit.
(a) [10 points] Write a function f (t) for the temperature t days from now.
(b) [4 points] When does Pleasantville reach its minimum temperature?
What is that temperature?
(c) [1 point] Your friends are thinking of visiting in 30 days. How will the weather be?
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