1
College Algebra Guided Notes 7.8
Definitions
The statements x + y > 4, 2x + 3y < 7, y x, and
linear
inequalities in the variables x and y.
x + y 9 are examples of _
A solution of an inequality in two variables x and y is an ordered pair (a, b) that resu
1
Precalculus Guided Notes 4.4
As an introduction to the graph of the sine function we will look at a table of values, plot those
coordinates and then sketch the graph.
Use the diagram to the right with the designated ordered
pairs and the fact that the s
1
Precalculus Guided Notes 4.5
Recall that if P(x, y) is a point on the terminal side of an angle in standard position, then
y/x
_
Since (0, 0) is a point on the terminal side of the angle as well, we can use the slope formula so
tan
_
Hence, we conclude,
1
College Algebra Guided Notes 7.1
system
A set of equations with common variables is called a _of
equations.
linear
If each equation is linear, then it is a system of _
equations or a linear system of
equations.
nonlinear system of equations.
If at least
1
College Algebra Guided Notes 3.3
Rules of Logarithms
Let m, n, and a be positive real numbers with a 1, and let r be any real number.
logaM+logaN
1. Product Rule: () = _
The logarithm of the product of two (or more) numbers is the sum of the logarithms
1
College Algebra Guided Notes 3.2
Introduction
Remember facts about a function f and its inverse function
If f is one-to-one function, then is a function
The inverse function is formed by reversing assignments of x and y so
domain of f becomes range o
1
Precalculus Guided Notes 4.2
THE UNIT CIRCLE
origin
The unit circle is a circle of radius 1 with its center at the _.
In the xy-plane, it is the set of points (x, y) that satisfy the equation + = 1.
Circumference
The circumference of the unit circle is
1
College Algebra Guided Notes 3.4
Steps for solving an exponential equation
1. Compare bases
a. If they are the same, then set exponents equal and solve.
b. If they are not the same, try to write equivalent expressions so the bases are the same
and then