Download Exam 1 Review Sheet Chapter 1 (1) Section 1.1 • The Cartesian

Exam 1 Review Sheet
Chapter 1
(1) Section 1.1
• The Cartesian Coordinate System Vocabulary
• Sketching graphs
– by ploting points
– by intercepts
• y as a function of x
• Vertical Line Test
• Linear Equations
• Intercepts
Review Problems: Chapter 1 Review: 1, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13
(2) Section 1.2
• The Distance Formula
– Memorize the fomula
– Finding the distance between points
• The Theorem on Cirlces - the equation of a circle
Review Problems: Chapter 1 Review: 17, 18, 19, 20
(3) Section 1.3
• Review how to graph on your calculator!
Review Problems: Chapter 1 Review: 21-28, 34-36
(4) Section 1.4
• Definition of a Function (and function vocabulary)
• Find the formula for a function from the equation
• Find function values
• Find the domain
• Find the range
• Find the Difference Quotient
• Graph a function by ploting
• Read function information from the graph
Review Problems: Chapter 1 Review: 37-39, 40-45, 47, 52
(5) Section 1.5
• Basic shapes of graphs
• Symmetry (even/odd functions)
• Translations
• Reflections
• Vertical Stretching and Compression
• Domains and Ranges
Review Problems: Chapter 1 Review: 54-56, 60-69, 72-79, 80-83,
(6) Section 1.6
• Definition of one-to-one functions
• Horizontal Line Test
• Definition of Inverse Function
• Inverse Function Theorem
• Relationship between the graphs of inverse functions
Review Problems: Chapter 1 Review: 84, 85, 87, 88, 89, 90-93, 94, 95
1
Chapter 2
(1) Section 2.1
• Definition of Principle Trigonometric Ratios
• Definition of Reciprocal Trig Ratios
• Evaluating Trig Ratios
– From a given triangle
– From one given ratio
– With the calcultor
– 30◦ - 60◦ - 90◦ triangles
– 45◦ - 45◦ - 90− ◦ triangles
• Find the angle using sin−1 , cos−1 , tan−1 .
• Word problems
Review Problems: Chapter 2 Review: 1(b,c,d,h), 3-6, 7-16, 17-21, 23-28, 30
(2) Section 2.2
• Solve all the types of right triangles
• Application Problems
Review Problems: Chapter 2 Review: 1(i), 35-40, 41, 42, 46, 47