Graph the polynomial function. {eq}f(x)=(x-2)^2(x+1)^4 {/eq} Polynomial Function: A polynomial function in one variable is a linear combination of positive integer powers of the variable. That is a polynomial function is of the form: $$f(x) = a_n x^n + a_{n-1} x...
Optionally, use technology to check the graph. Example 8: Sketching the Graph of a Polynomial Function Sketch a graph of f(x)=−2(x+3)2(x−5)f(x)=−2(x+3)2(x−5). Solution This graph has two x-intercepts. At x =–3, the factor is squared, indicating a multiplicity of...
The degree of the polynomial function is the highest power of the variable it is raised to. Consider this polynomial function f(x) = -7x3 + 6x2 + 11x – 19, the highest exponent found is 3 from -7x3. This means that the degree of this particular polynomial is 3....
Understand the polynomial function and polynomial graph. See polynomial function examples. Learn graphing polynomial functions through various...
题目【题目】T he graph of the polynomial functionP(x)=ax3+bx2+cx+d where a, b, c and d are constants, is shown. What are the conditions on cand a? ()A.c=0,d=0B.c=0, d0C. c0 ,d=0D. c≠0 ,d=0E. c0 , d≠0 相关知识点: ...
The graph of a polynomial function has the following characteristics:. Its domain and range are the set of all real numbers.. There are turning points at x = -2, 0, and 3.What additional characteristics would ensure that only one graph could be drawn? 相关知识点: 试题来源: 解析 反...
Locate the x-intercepts, if possible. If you can, factor your polynomial function. (If it doesn't factor, it most likely means your x-intercepts are not integers.) For the given example, the function factors to: f(x) = (x+1)(x-2)(x-4). In this form, you can see if any of...
In graphing a simple polynomial function, we can simply determine some points of the graph and trace the points. Answer and Explanation: The given polynomial function is: g(x)=−12(x+3)(x−1)2(x+2) The goal is to graph the given function. The given poly...
Locate the x-intercepts, if possible. If you can, factor your polynomial function. (If it doesn't factor, it most likely means your x-intercepts are not integers.) For the given example, the function factors to: f(x) = (x+1)(x-2)(x-4). In this form, you can see if any of...
Polynomial Filters on Graphs The Graph Laplacian 给定一个graph G,用A来表示数值为0或者1的邻接矩阵,用D表示对角度矩阵(矩阵对角线数值表示与行node相邻node的数量),那么 D_{v}=\sum_{u} A_{v u}。graph Laplacian矩阵L可以表示为:L=D - A。右图的对角线就是行node的度数,负数是减去的邻接矩阵(蓝色...