a) This polynomial is already in factored form. Plot the points and connect the dots to draw the graph. The zero associated with this factor, [latex]x=2[/latex], has multiplicity 2 because the factor [latex]\left(x - 2\right)[/latex] occurs twice. Identify whether each graph represents a polynomial function that has a degree that is even or odd. These are also referred to as the absolute maximum and absolute minimum values of the function. Zeros \(-1\) and \(0\) have odd multiplicity of \(1\). How to: Given a polynomial function, sketch the graph, Example \(\PageIndex{5}\): Sketch the Graph of a Polynomial Function. At x= 3 and x= 5,the graph passes through the axis linearly, suggesting the corresponding factors of the polynomial will be linear. Because a height of 0 cm is not reasonable, we consider only the zeros 10 and 7. The graphs of gand kare graphs of functions that are not polynomials. An open-top box is to be constructed by cutting out squares from each corner of a 14 cm by 20 cm sheet of plastic then folding up the sides. Sketch a graph of\(f(x)=x^2(x^21)(x^22)\). If P(x) = an xn + an-1 xn-1+..+a2 x2 + a1 x + a0, then for x 0 or x 0, P(x) an xn. The Intermediate Value Theorem states that for two numbers \(a\) and \(b\) in the domain of \(f\),if \(a
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