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Polynomial consists of more than one terms, with a degree, leading coefficient, and a constant.

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When a constant is existent in a function, we are moving along the y-axis and if the transformation is written inside the parenthesis then the graph moves along the x-axis.

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the end behavior for the even functions are identical each other and the end behavior for the odd functions are also identical as well. For odd functions when the x-values increase then the y-values increase as well. For the even functions, the y-values increase along with the y-values and even when the x-values decrease, the y-values are still positive.

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In the odd function, the y value increases to positive infinity as it goes to the right and decreases to negative infinity as it goes to the left. On the other hand, even functions increases to one side either to positive side or negative side.

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When the degree of a function is positive even, both end behavior points opens upwards and the negative, both end points opens downwards. If it's odd positive, the right end point increases to positive infinite and the left end point decreases to negative infinite. If it's negative odd, the left end point increases to positive infinite and the right end point decreases to negative infinite.

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The transformations work exactly same as how it works in Quadratics.

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If the graph equation is f(x)= (x-h)^2 - a, then we have to move (h, -a) from the origin.

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How to determine a appropriate polynomial by looking at different graphs.

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The graph of a polynomial has to be continuous with a certain pattern. However, when the graph has a portion that disrupts the pattern, it cannot be a polynomial

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We learned how to transform different polynomials and how to determine what type of graph it is

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graph of polynomial should b continuous

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irrational numbers are not polynomial

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if the graph isn't continuous, it is not a polynomial

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The graphs of polynomials should not have a hole and should also be continuous, without drastic changes like part of the graph being linear.

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Before, I was not sure of the actual definition of polynomials but now I am exactly sure what it means now.

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A polynomial is an expression consisting variables and coefficient.

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When the degree of the function is even, then the right and left end behaviors are pointing the same directions. But if it is odd, the directions are opposite.

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For something to be a polynomial, it can't have irrational numbers

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LEAVE COMMENTS BY GROUP ON THE MOST IMPORTANT CHARACTERISTICS FOR EACH EXPLORATION

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LEAVE COMMENTS BY GROUP ON THE MOST IMPORTANT CHARACTERISTICS FOR EACH EXPLORATION