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Integer Power Function

"Power functions are functions where y = x^n where "n" is any real constant number. When "n" is a positive integer, we have two possible scenarios of an integer power function. When "n" is odd, the fu ...

Graphing Rational Functions, n less than m

"There are different characteristics to look for when graphing rational functions. When graphing rational functions where the degree of the numerator function is less than the degree of denominator fu ...

Graphing Polynomial Functions

"Graphing higher degree polynomial functions can be more complicated than graphing linear and quadratic functions. When graphing polynomial functions, we can identify the end behavior, shape and turni ...

Graphing Holes

"Rational functions have points where they are undefined, which introduces us to graphing holes in the function. Graphing holes involves being able to find these points. A rational function is a quoti ...

Finding Maximum and Minimum Values

"Polynomial functions are useful when solving problems that ask us to find things like maximum income, revenue or production quantities. Finding maximum and minimum values of polynomial functions hel ...

Reciprocal Transformation

"One important concept in the study of polynomials is the reciprocal transformation. What happens when we take the reciprocal transformation of a function, or one over the function? Specifically, ther ...

Rational Functions

"Once we have a thorough understanding of polynomials we can look at rational functions that are a quotient of two polynomials. These rational functions have certain behaviors, and students are often ...

Rational Function Graph

"There are different characteristics to look for when drawing a rational function graph. With a rational function graph where the degree of the numerator function is greater than the degree of denomin ...

Power Functions

"A power function is a function where y = x ^n where n is any real constant number. Many of our parent functions such as linear functions and quadratic functions are in fact power functions. Other pow ...

Polynomial Functions Graphs

"The behavior of polynomial functions graphs near a repeated factor is different than what we expect from polynomial functions with terms in sequential degrees. In polynomial functions with repeated ...

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