Assignment 68 Review for Test 5 Operations of Functions

Front

What is the standard form of a rational function?

Back

Front

What are the restrictions in the domain of a rational function?

Back

Front

How do you perform operations on rational functions?

Back

To perform operations, find a common denominator, combine the numerators, and simplify the result.

Front

What is the process to express a polynomial in standard form?

Back

Front

What does it mean to find f[g(x)]?

Back

Finding f[g(x)] means to substitute g(x) into the function f(x).

Front

How do you evaluate a composite function?

Back

To evaluate a composite function, first calculate g(x), then substitute that result into f(x).

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function.

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 add two polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

What is the difference between a rational function and a polynomial function?

Back

A rational function is the ratio of two polynomials, while a polynomial function is a single polynomial without division by another polynomial.