Graphs and zeros of a polynomial common core algebra 2 homework answers

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Graphs and zeros of a polynomial common core algebra 2 homework answers in 2021

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When is a graph of a polynomial function a zero?

Given a graph of a polynomial function of degreeidentify the zeros and their multiplicities. If the graph crosses the x -axis and appears almost linear at the intercept, it is a single zero. If the graph touches the x -axis and bounces off of the axis, it is a zero with even multiplicity.

What do you call a graph with no breaks?

Polynomial functions also display graphs that have no breaks. Curves with no breaks are called continuous. (Figure) shows a graph that represents a polynomial function and a graph that represents a function that is not a polynomial.

How are x-intercepts related to polynomials in Algebra?

Each x -intercept corresponds to a zero of the polynomial function and each zero yields a factor, so we can now write the polynomial in factored form. Graphs behave differently at various x -intercepts. Sometimes, the graph will cross over the horizontal axis at an intercept. Other times, the graph will touch the horizontal axis and “bounce” off.

Is the real number a valid input for a polynomial function?

Yes. Any real number is a valid input for a polynomial function. Recall that if is a polynomial function, the values of for which are called zeros of If the equation of the polynomial function can be factored, we can set each factor equal to zero and solve for the zeros.

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