Reflect on the concept of polynomial and rational functions PDF

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A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1....

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Reflect on the concept of polynomial and rational functions. What concepts (only the names) did you need to accommodate these concepts in your mind? Power functions, toolkit functions, immediate value theorem, linear factorizing theorem, real numbers, coefficient, degree of the polynomial, leading term, leading coefficient, intercepts, , turning points, multiplicity, zeros of polynomial functions, factored forms of polynomials, division algorithm, synthetic division, remainder theorem, factor theorem, rational zero theorem, the fundamental theorem of algebra, and vertical and horizontal asymptote. What are the simplest polynomial and rational function you can imagine? Simplest polynomial function: f(x)=x^3+x^2+x Simplest rational function: f(x)=(x+1)/2 In your day to day, is there any occurring fact that can be interpreted as polynomial and rational functions? Polynomial functions can be applied to day to day for example time and more complex examples would be in geology or in engineering. Rational function can be applied to day to day for example rational function are used tto model electrical circuits.. What strategy are you using to get the graph of polynomial and rational functions? Graph of Polynomial Functions:    

Find the intercepts. Check for symmetry Use the multiplicities of the zeros to determine the behaviour of the polynomial at the xintercepts. Find the end behaviour by looking at the leading term of the polynomial.

Rational Functions:  

Find y intercept but substituting 0 for x in function Set the denominator to zero to find vertical asymptotes

REFERENCES: Abramson, J. (2017). Algebra and trigonometry. OpenStax, TX: Rice University. Chapter 5, pages 360462. https://openstax.org/details/books/algebra-and-trigonometry...