PreCalculus
Writing for Chapter 1
Choose one of the following before Test 1. You must write a complete paragraph that fully answers the
question or makes a convincing argument to receive full credit.
1.
2.
Suppose function f whose graphs contains no breaks or gaps for domain values (a, c) is increasing on
(a, b), decreasing on (b, c), and is defined at b. Draw a graph to represent the situation and describe
what occurs at x = b and what f(b) represents. Provide any other relevant information as well.
Explain how to derive slope intercept form of a linear equation, given point-slope form.
3. Explain the relationship between the slopes of parallel and perpendicular lines. Be specific and include
other geometric implications.
4. Given the graph of f(x) = x3 for domain values [-2,2], transform the graph by changing the x-value in
each of the order pairs to its additive opposite. Graph the transformed function as g(x). Describe the
relationship between the graphs of f(x) and g(x).
5.
Is f(x + 3) = f(x) + f(3)? Explain.
6. Is f(-x) = f(x)? Explain.
Choose one of the following before Test 2. You must write a complete paragraph that fully answers the
question to receive full credit.
7.
8.
Graph the equation f(x) = |x|. Write an equation for g(x) that transforms f(x) in 4 ways. Graph g(x).
Fully explain the connections between the changes in the equations and the changes in the graphs.
Compare and contrast relations, functions, and one-to-one functions.
9. Explain how to derive the distance formula using the coordinate plane.
10. You are shopping for merchandise with a $10 gift card. The business is also having a 25% off sale.
Given the option of applying the discounts in either order, what would be best for the consumer? How
does the business handle the situation?