Rational Function Graphs

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 the general form of a rational function?

Back

The general form of a rational function is f(x) = P(x) / Q(x), where P(x) and Q(x) are polynomials.

Front

What is the y-intercept of a function?

Back

The y-intercept of a function is the point where the graph of the function intersects the y-axis, which occurs when x = 0.

Front

How do you find the y-intercept of a rational function?

Back

To find the y-intercept of a rational function, substitute x = 0 into the function and solve for y.

Front

What is the x-intercept of a function?

Back

The x-intercept of a function is the point where the graph of the function intersects the x-axis, which occurs when y = 0.

Front

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

Back

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

Front

What is the domain of a rational function?

Back

The domain of a rational function is the set of all real numbers except where the denominator is zero.

Front

How do you determine the domain of a rational function?

Back

To determine the domain, identify the values of x that make the denominator zero and exclude them from the set of real numbers.

Front

What is an asymptote?

Back

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

Front

What are vertical asymptotes?

Back

Vertical asymptotes occur at values of x that make the denominator of a rational function zero.