HA2- Review Rational Unit

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

Front

How do you find vertical asymptotes?

Back

Vertical asymptotes occur where the denominator of a rational function is equal to zero.

Front

What is the horizontal asymptote of a rational function?

Back

The horizontal asymptote is determined by the degrees of the numerator and denominator polynomials.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and denominator and cancel out any common factors.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, find a common denominator, convert each fraction, and then subtract the numerators.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating where the function equals zero.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when x=0.

Front

How do you determine the x-intercept of a rational function?

Back

To find the x-intercept, set the numerator of the rational function equal to zero and solve for x.