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vertical line where x=a where the graph tends toward positive or negative infinity as the inputs approach a.

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k is a zero of f(x) if and only if (x−k) is a factor of

f(x).

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If a polynomial f(x) is divided by x−k, then the remainder is the value f(k).

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(Ex. above)
only the coefficients are used in the division process

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number of times a given factor appears in the factored form of the equation of a polynomial

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graph that has no sharp corners

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no breaks in its graph

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point at which the function values change from increasing to decreasing or decreasing to increasing.

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Identifying End Behavior of Polynomial Functions

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Identifying End Behavior of Polynomial Functions

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look at the leading term of the polynomial function

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a u-shaped curve on a graph

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The x-intercepts are the points at which the parabola crosses the x-axis

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symmetric with a vertical line drawn through the vertex

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extreme point or turning point
if a parabola opens up, the vertex represents the lowest point on the graph, or the minimum value. if a parabola opens down, the vertex represents the highest point on the graph, or the maximum value!