Objectives
Assessed by MA 153 Test 1
Chapter 1 (not 1.6) and Chapter 2
Friday, February 10
(See
also your eGrade assignments,
quizzes, and homework for more practice.)
1. Understand
functional notation and use the graph, table, equation, or verbal description.
Section 1.1 #3, 5, 6, 7, 13, 19cd and Check Your Understanding (p 52) #1-10, 30
2. Determine
if y is a function of x.
Section 1.1 #3, 19ab and Example 6 on page 6 and Chapter 1 Review #1-5, 27, 30
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 #2, 14 and Example 1, 2, 3 on pp 11-12 and Chapter 1 Review #1-5 and Check Your Understanding (p 53) #13-14
and Chapter 2 Review #6-11.
4. Determine
the value of the average rate of change from a table of values, a graph, or an
equation
Section 1.2 #3, 4, 8 and Example 2 and 4 on pp 12-14 and Chapter 1 Review #6, 7 and Check Your Understanding
(p 53) #11-12, 16
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 page 14
Section 1.2 #9, 10 and Check Your Understanding (p 53) #8, 15,
17, 18, 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 #7-11, 24, 26 and Section 1.4 #29 and Chapter 1 Review #44
7. Find a
linear model if given an initial value and an average rate of change.
Section 1.3 #12, 14, 18 and Section 1.4 #10, 14, 15 and Chapter 1 Review #22, 23, 38, 39, 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 1.3 #12, 14, 18 and Section 1.4 #11,16-23, 26, 27, 32 and Section 1.5 # 19, 20, 21, 22 and Chapter 1 Review #22, 23, 38, 39, 40
10. Determine
if a function is linear.
Section 1.3 #1-6 and Chapter 1 Review #8, 9 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 #1-15, 21, 22 and Chapter 1 Review #15-21and 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 #25, 26 and Example 3 on pp 35-36 and Check Your
Understanding (p 53) #41- 42 and Chapter
1 Tools (pp 57ff) # 33-44
13. Evaluate
functions with values that are expressions as well as numbers.
Section 2.1 #1-20, 22 and Chapter 2 Review #1, 2, 4, 6-11, 19, 20
and Check Your Understanding (p 93)
#1-3, 5-10
14. Solve
equations and inequalities and interpret the results.
Section 2.1 #1-20 and Chapter 2 Review #22-26, 31 and Check Your Understanding (p 93) #4, 9
and Chapter 2 Tools (pp 97ff) #
1-51,77-85, 87, 94, 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 #1-27 and Chapter 2 Review #6-16, 27d and Check Your Understanding (p 93) #9,
11-20,
16. Use a graph, table, or an equation to
evaluate a function or its inverse.
Section 1.1 #5, 6, 19cd and Section 2.4 #1-8,17 and Chapter 2 Review #28, 29, 32, 33, 34
17. Interpret
expressions or equations which involve function notation and inverse function
notation.
Section 1.1 #13, 19cd and Section 2.1 #24 and Section 2.1 #24 and Section 2.4 #9-17, 20, 21 and Chapter 2 Review #28, 29, 32, 33, 34 Check Your Understanding (p 93) #26-33
18. Determine
the concavity of a function.
Section 2.5 #11-17 and Section
2.6 #14, 16and Check Your
Understanding (p 93) #34-39
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.
Section 2.1 #22 and Section
2.6 #1-16, 18 and Chapter 2 Review
#3 and Check Your Understanding (p
93) #40-48 and
Chapter 2 Tools (pp 97ff) # 1-51, 77-85, 87, 94, 99
Start your review by doing the following:
Check Your
Understanding Chapter 1 (page 53):
1-45
Check Your
Understanding Chapter 2 (page 93):
1-20, 26-48