Rational Expressions Test Wozgen

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

How do you multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Front

What is the process for simplifying a rational expression?

Back

Factor both the numerator and denominator, cancel any common factors, and rewrite the expression.

Front

What is the domain of a rational expression?

Back

The domain is all real numbers except where the denominator equals zero.

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches or crosses.

Front

How do you find vertical asymptotes?

Back

Vertical asymptotes occur at values of x that make the denominator zero, provided the numerator is not also zero at those points.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote describes the behavior of a function as x approaches infinity or negative infinity.

Front

What is the difference between a hole and an asymptote in a graph?

Back

A hole occurs when a factor cancels out in both the numerator and denominator, while an asymptote indicates a value that the function approaches but never reaches.

Front

How do you determine the range of a rational function?

Back

The range can be determined by analyzing the output values of the function, considering any restrictions from asymptotes.

Front

What is the significance of factoring in rational expressions?

Back

Factoring allows for simplification of expressions and helps identify asymptotes and holes.