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Rational Expressions
Graphs of Rational Functions
Solve Two-Step Equations
Multiply, Dividing; Exponents; Square Roots; and Solving Equations
Solving a Quadratic Equation
Systems of Linear Equations Introduction
Equations and Inequalities
Solving 2nd Degree Equations
Review Solving Quadratic Equations
System of Equations
Solving Equations & Inequalities
Linear Equations Functions Zeros, and Applications
Rational Expressions and Functions
Linear equations in two variables
Lesson Plan for Comparing and Ordering Rational Numbers
Solving Equations
Radicals and Rational Exponents
Solving Linear Equations
Systems of Linear Equations
Solving Exponential and Logarithmic Equations
Solving Systems of Linear Equations
Solving Quadratic Equations
Quadratic and Rational Inequalit
Applications of Systems of Linear Equations in Two Variables
Systems of Linear Equations
Test Description for RATIONAL EX
Exponential and Logarithmic Equations
Systems of Linear Equations: Cramer's Rule
Introduction to Systems of Linear Equations
Literal Equations & Formula
Equations and Inequalities with Absolute Value
Rational Expressions
Steepest Descent for Solving Linear Equations
The Quadratic Equation
Linear equations in two variables
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Rational Expressions and Functions

11.1 Simplifying Rational Expressions

1) A rational expression is simply the quotient of two polynomials. See examples
presented in this section.

a) The expression is undefined at because substitution of into the
expression will yield a denominator of zero. Division by zero is undefined.

b) Y = (X – 3)/(X + 2)

c) When , Y1 the calculator reads ERROR.


Table results:

b) The expressions are not equivalent at x = 2 because substitution of 2 for x
in both expressions yield different output values.

For x = 2,,which is

undefined. For x = 2,.



Skill and Review


a) is an exponential growth function. This is because the
function is of the form with b > 1 and k > 0. One could
conclude the graph of f is a growth function by observing that as x takes
on larger values, the value of the function f(x) increases.

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