Rational Expressions and Functions

Remembering: Match the following vocabulary to the definitions.

• Asymptote

• Fractions with polynomials in the numerator and denominator.

• Factoring

• A value that appears to be a solution to an equation when solving it, but does not work when plugged back into the original equation.

• Extraneous Solutions

• Breaking down polynomials into simpler forms to simplify expressions.

• Rational Expressions

• A line that the graph approaches but never actually touches

• Real Solutions

• Solutions that can be plotted on the number line.

• Multiply in the factor that is missing for each rational expression

• Simplify the numerator using Algebra.

• Combine the fractions using the given operation.

• Find the least common denominator.

Understanding: How would you explain why an asymptote occurs on a rational equation?

Mathematical Equivalence

ON

• 26/5

• 34/5

• -26/7

• -34/7

Analyzing: Compare and contrast the graphs of the following two rational expressions.