Objectives Assessed by MA 153 Test 1: Chapter 1 (not 1.6) and Chapter 2

1. Understand functional notation and use the graph, table, equation, or verbal description.

Section 1.1 #1-12, 15, 16, 19, 26cd and Section 2.1 #35 and Check Your Understanding (p 53) #1-10, 30

2. Determine if y is a function of x.
Section 1.1 #7, 26ab and Example 6 on page 6 and Chapter 1 Review #1-5, 31, 34

3. Identify whether a function is a (totally) increasing or decreasing function or identify intervals on which it is

increasing and decreasing.

Section 1.2 #9, 22 and Example 1, 2, 3 on pp 12-13 and Chapter 1 Review #1-5 and Check Your Understanding (p 53) #13-14.

4. Determine the value of the average rate of change from a table of values, a graph, or an equation
Section 1.2 #3-7, 10, 11, 15, 21 and Example 2 and 4 on pp 12-14 and Chapter 1 Review #6, 7 and Check Your Understanding (p 53) #11-18, 24

5. Understanding the geometric interpretation of the average rate of change and the function notation for the average rate of change. Read bottom of page 13 and 14. Section 1.2 #16,17 and Check Your Understanding (p 53) #8, 15, 17, 18, 19, 24

6. Given the equation of a linear function, find and interpret its slope and axis intercepts as well as sketch its graph.

Section 1.3 #12, 23, 24, 27, 29 and Section 1.4 #37, 40

7. Find a linear model if given an initial value and an average rate of change.

Section 1.3 #11, 14, 15, 20, 24 and Section 1.4 #16, 19, 21 and Section 1.5 #31, 32 and Chapter 1 Review #21, 26, 27, 40

8. Find a linear model if given any value (not necessarily its initial value) and an average rate of change.

Section 1.3 # 22 and Section 1.4 #12, 30 and Chapter 1 Review #15

9. Find a linear model if given any two points.

Section 1.4 Examples 1 and 2 and Exercises #18, 22-30, 35, 40 and Section 1.5 #22-25, 34 and Chapter 1 Review #10-12, 19, 20

10. Determine if a function is linear.

Section 1.3 #1-6, 26 and Chapter 1 Review #8, 9, 39 and Check Your Understanding (p 53) #19, 20, 22

11. Understand the geometric properties of linear functions including:

· when two lines are parallel and when they are perpendicular

· when their y-intercepts are positive or negative

· when they are increasing or decreasing (or neither)

Section 1.5 #1-17, 24,25 and Chapter 1 Review #15, 18, 23-25 and Check Your Understanding (p 53) #23-40, 43-45

12. Construct linear models and find intersection points to solve problems and make predictions.

Section 1.5 #31,32,36 and Example 3 on pp 37-38 and Check Your Understanding (p 53) #41- 42 and Chapter 1 Tools (pp 58ff) # 31, 32,36

13. Evaluate functions with values that are expressions as well as numbers.

Section 2.1 #1-34 and Chapter 2 Review #1, 2, 4, 25, 25 and Check Your Understanding (p 97) #1-3, 5-10

14. Solve equations and inequalities and interpret the results.
Section 1.1 #1-4 and Section 2.1 #1-18, 25, 27 and Chapter 2 Review #21-24, 35, 43 and Check Your Understanding
(p 97) #4, 9 and Chapter 2 Tools (pp 102ff) # 77-99

15. Understand the domain and range of a function. Find these if given a function represented by a graph, table, equation, or verbal description.
Section 2.2 #1-29 and Chapter 2 Review #6-8, 10, 36 and Check Your Understanding (p 97) #9, 11-20

16. Use a graph, table, or an equation to evaluate a function or its inverse.
Section 1.1 #1-4, 8-12, 26cd and Section 2.4 #13-24, 26-32,35, 40 and Chapter 2 Review #37, 38, 41-43.

17. Interpret expressions or equations which involve function notation and inverse function notation.
Section 1.1 #19, 26cd and Section 2.1 #35 and Section 2.4 #13-17, 28-32, 39, 40 and Chapter 2 Review #37, 38, 41, 42 and Check Your Understanding (p 97) #37-42

18. Determine the concavity of a function.

Section 2.5 #1-19 and Section 2.6 #27, 31 and Check Your Understanding (p 98) #37-42

19. Find and interpret the zeros of a function using the quadratic formula or factoring. Understand the factored form of a quadratic function. Find the maximum or minimum value. Solve quadratic equations algebraically, graphically, or using a table.

Section 2.1 #9 and Section 2.6 #1-28, 30, 31 and Chapter 2 Review #5 and Check Your Understanding (p 98) #43-51 and Chapter 2 Tools (pp 103ff) # 28-80, 87-96.

20. Use a graphing calculator to graph a function in an appropriate viewing window. Use built-in calculator features such as an intersection point finder, maximum/minimum finder, or zero finder to solve problems. Section 1.3 –26-30 and Section 2.6 #33

Start your review by doing the following:

Check Your Understanding: Chapter 1 (page 53): 1-45 and Chapter 2 (page 97): 1-20, 26-33, 37-51