Find an Equation of the Polynomial Function - Concept

Concept Concept (1)

Once we know the basics of graphing polynomial functions, we can easily find the equation of a polynomial function given its graph. To find polynomial equations from a graph, we first identify the x-intercepts so that we can determine the factors of the polynomial function. We can also identify the sign of the leading coefficient by observing the end behavior of the function.

Sample Sample Problems (3)

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Find an Equation of the Polynomial Function - Problem 1
Problem 1
How we identify the equation of a quartic function when we are given the intercepts of its graph.
Find an Equation of the Polynomial Function - Problem 2
Problem 2
How we identify the equation of a quintic function when we are given the intercepts of its graph.
Find an Equation of the Polynomial Function - Problem 3
Problem 3
How we identify the equation of a quintic function when we are given the x-intercepts and one other point on the graph.