Domain and Range of Radical and Rational Functions

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the domain of a radical function?

Back

To find the domain of a radical function, set the expression inside the radical greater than or equal to zero and solve for x.

Front

How do you find the range of a radical function?

Back

The range of a radical function can be determined by analyzing the output values based on the domain, often starting from the minimum value of the function.

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the ratio of two polynomials.

Front

How do you find the domain of a rational function?

Back

To find the domain of a rational function, identify values of x that make the denominator zero and exclude them from the domain.

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.

Front

What are horizontal asymptotes?

Back

Horizontal asymptotes describe the behavior of a function as x approaches positive or negative infinity.

Front

How do you determine the range of a rational function?

Back

The range of a rational function can be determined by analyzing the output values and considering any restrictions from vertical asymptotes.