$$ f(x)=-x^{3}+4x^{3}-3x^{2}+1 $$ First, rewrite the polynomial function in descend ing order:$$ f(x)=4x^{3}-x^{3}-3x^{2}+1 $$ Idontify the degree of the polyromial function. This poly nomial function is of degree 5. The maximum number of turning points is 5-1=4 ...
【题目】Find the maximum number o f turning points o f each polynomial function.$$ f ( x ) = - ( x - 1 ) ^ { 2 } ( 1 + 2 x ^ { 2 } ) $$ 相关知识点: 试题来源: 解析 【解析】 $$ f(x)=-(x-1)^{2}(1+2x^{2}) $$ Tirst,identify the teading tern if the pod...
What is the maximum number of x-intercepts and turning points for a polynomial of degree 5?DegreeThe degree of a polynomial is the highest power of any variable in the polynomial equation. It denotes the maximum number of values for which the polynomial can be 0.An...
Results in MathematicsW. Eberhard, G. Freiling, The distribution of the eigenvalues for second order eigenvalue problems in the presence of an arbitrary number of turning points, Results in Math. (1992) 21, 24-41. MR 93e:34108Eberhard W. and Freiling G., The distribution of the ...
In many parts of the world, children are given more freedom than in the past. Is this a positive or negative development? Give reasons for your answer and include any relevant examples from your own knowledge or experience. Write at least 250 words. Task 2 利弊比较题 社会生活类 - - 范文...
Explain how to find the maximum number of turning points in a polynomial function. Find the maximum y-value on the graph of y = f(x). f(x)= - x^{2} + 4x + 8 Graph and determine all the possible maxima/minima coordinates of the given function bel...
A polynomial is a function p from N to N that is defined by a formula of the form (1.4)p(n)=a0+a1n+a2n2+⋯+arnr, where a0, a1, …, ar − 1 are integers, positive, negative, or zero, while ar is a positive integer. In this case the number r is called the degree of...
Number System In subject area: Mathematics The core of this theory is that measurement is a process of assigning numbers to attributes or characteristics of the empirical world in such a way that the relevant qualitative empirical relations among these attributes or characteristics are reflected in ...
of failure necessarily will be small. Smale started studying the probability that a polynomial is ill-conditioned [66]. This strategy was extended to linear algebra condition numbers [26,31,41], to systems of polynomial equations in diverse settings [42,62], to linear systems of inequalities [...
classical theory, and serves as a polynomial algebraic relation within the transposed academic theory. The influence of academic mathematics is apparent within the use of the academic theory. As in the previous case, two kinds of tension between school and academic mathematics arise: (1) different...