Section 3-4 Exponential and Logarithmic Equations
Objectives:
Apply the One-to-One Property of Exponential Functions to solve
equations.
Apply the One-to-One Property of Logarithmic Functions to solve
equations.
Warm-Up: Solve for x in
I. One-to-One Prope
Section 3-2 Logarithmic Functions
Objectives:
Evaluate expressions involving logarithms.
Sketch and analyze graphs of logarithmic functions.
Warm-Up: Solve for y in the following equations
1.
2.
3.
4.
I. Logarithmic Functions and Expressions (See Pg. 172)
Section 3-3 Properties of Logarithms
Objectives:
Apply properties of logarithms.
Apply the Change of Base Formula.
Warm-Up: Rewrite 54 in terms of the multiplication of 2 and 3 (you can also include
exponents)
I. Properties of Logarithms (See Pg. 181)
A.
PreCalculus
Practice Quiz for Sections 31 & 3-2
Section 3-1
1. Give a rough sketch of y = 2". 2. Use your graph in #1 to graph y =2" + 3
Where are the yint 8; HA? Describe the translation. Where are the
W . My!) , y-int & HA?
Mta' .'.; 'E - y._ .
WM fly/W
Section 4-2 Degrees and Radians
Objectives: Convert degree measures of angles to radian measures, and vice versa.
Use angle measures to solve real-world problems.
Warm-Up: If , find
I. Angles and Their Measures (See Pg. 231)
A. Converting Between Degrees
Section 4-1 Right Triangle Trigonometry
Objectives: E21 Find values of Uigonometric functions for acute angles of right triangies.
El Solve right triangles.
Warm~Upz
8 9, I X FMM/ X.
[W cm / 3 cfw_am cfw_7 m4 $312M 6?
gap 7LAZ iv? cfw_5A? .
u
A J I. Va
Pre-Calculus
Practice Test
Chapter 3
Graphing
For #5 1 4, graph the function with the correct Horizontal Asymptote OR Vertical Asymptote and
the correct x-intercept AND y-intercept. "OR" is capitalized because you must know when to use
an HA vs VA.
1. f(x
Section 3-1 Exponential Functions
Objectives:
Evaluate, analyze, and graph exponential functions.
Solve problems involving exponential growth and decay.
Warm-Up: Fill in the x-y charts to graph the two functions.
which is the same as
I. Exponential Functi
Section 4-7 The Law of Sines and the Law of Cosines
Objectives:
Solve oblique triangles by using the Law of Sines or the Law of Cosines.
Warm-Up: Solve the following
I. Solve Oblique Triangles (See Pg. 291)
In Section 4-1, you used trigonometric functions
Section 4-3 Trigonometric Functions on the Unit Circle
Objectives: Find values of trigonometric functions for any angle.
Find values of trigonometric functions using the unit circle.
Warm-Up:
I. Trigonometric Functions of Any Angle (See Pg. 242)
In Sectio
Practice Quiz for Chapter 6
1. Write the system in augmented matrix form. Solve the system using Gauss-Jordan Elimination. Show
the final reduced row-echelon form matrix along with the answers in an ordered pair.
2. Solve the 2 X 2 system by hand using th
Chapter 6 Systems of Equations and Matrices
Section 6-2 Matrix Multiplication, Inverses, and Determinants
1. Matrices
A matrix is a convenient method to store data and be able to work with that data.
A. Matrix Addition and Subtraction
B. Scalar Multiplica
Section 7-3 Hyperbolas
Objectives: Analyze and graph equations of vertical and horizontal hyperbolas centered at the
origin.
Write equations of hyperbolas given the vertices and foci.
Warm-Up: Use Completing the Square to rewrite . Analyze the resulting e
For each graph, state the domain, range, left end-behavior, right end-behavior, and other limit
problems if stated. Remember to write your end-behavior using proper limit notation.
g4 Aggy 925* No Mam-,1 For each graph, state the domain, range, left end
Section 7-2 Ellipses and Circles
Objectives: Analyze and graph equations of vertical and horizontal ellipses, and circles.
Write equations of ellipses and circles.
Warm-Up: Recall that the general equation of a circle is , with the center at . Find the x-
Section 7-1 Parabolas
Objectives: Analyze and graph equations of vertical and horizontal parabolas.
Write equations of parabolas.
Warm-Up: Recall that the vertex form of a parabola is , where is the vertex. Find the x-int(s), y-int(s),
vertex, and axis of
Section 44 Graphing Sine and Cosine Functions
Section 4-5 Graphing Other Trigonometric Functions
Objectives: [3 Graph y = sin x, y = cos x, y = tan "x, and their reciprocais.
cfw_2i Graph sine and cosine with a change in the amplitude.
WarmUp: Get your Un