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- https://math.libretexts.org/Courses/Chabot_College/Chabot_College_College_Algebra_for_BSTEM/05%3A_Polynomial_and_Rational_Functions/5.03%3A_Graphs_of_Polynomial_FunctionsThe revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase...The revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase or decreases? These questions, along with many others, can be answered by examining the graph of the polynomial function. We have already explored the local behavior of quadratics, a special case of polynomials. In this section we will explore the local behavior of polynomials in general.
- https://math.libretexts.org/Courses/Coastline_College/Math_C115%3A_College_Algebra_(Tran)/05%3A_Polynomial_and_Rational_Functions/5.04%3A_Graphs_of_Polynomial_FunctionsThe revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase...The revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase or decreases? These questions, along with many others, can be answered by examining the graph of the polynomial function. We have already explored the local behavior of quadratics, a special case of polynomials. In this section we will explore the local behavior of polynomials in general.
- https://math.libretexts.org/Courses/Western_Connecticut_State_University/Draft_Custom_Version_MAT_131_College_Algebra/05%3A_Polynomial_and_Rational_Functions/5.03%3A_Graphs_of_Polynomial_FunctionsThe revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase...The revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase or decreases? These questions, along with many others, can be answered by examining the graph of the polynomial function. We have already explored the local behavior of quadratics, a special case of polynomials. In this section we will explore the local behavior of polynomials in general.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Map%3A_Linear_Algebra_(Waldron_Cherney_and_Denton)/12%3A_Eigenvalues_and_Eigenvectors/12.02%3A_The_Eigenvalue-Eigenvector_EquationThe left hand side of this equation is a polynomial in the variable λ called the characteristic polynomial PM(λ) of M. \[P_{M}(\lambda)=(\lambda-\lambda_{1})(\l...The left hand side of this equation is a polynomial in the variable λ called the characteristic polynomial PM(λ) of M. PM(λ)=(λ−λ1)(λ−λ2)⋯(λ−λn)⟹PM(λi)=0 An obvious candidate is the exponential function, eλx; indeed, ddxeλx=λeλx.
- https://math.libretexts.org/Bookshelves/Algebra/Algebra_and_Trigonometry_1e_(OpenStax)/05%3A_Polynomial_and_Rational_Functions/5.03%3A_Graphs_of_Polynomial_FunctionsThe revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase...The revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase or decreases? These questions, along with many others, can be answered by examining the graph of the polynomial function. We have already explored the local behavior of quadratics, a special case of polynomials. In this section we will explore the local behavior of polynomials in general.
- https://math.libretexts.org/Workbench/Algebra_and_Trigonometry_2e_(OpenStax)/05%3A_Polynomial_and_Rational_Functions/5.04%3A_Graphs_of_Polynomial_FunctionsThe revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase...The revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase or decreases? These questions, along with many others, can be answered by examining the graph of the polynomial function. We have already explored the local behavior of quadratics, a special case of polynomials. In this section we will explore the local behavior of polynomials in general.
- https://math.libretexts.org/Courses/Truckee_Meadows_Community_College/TMCC%3A_Precalculus_I_and_II/Under_Construction_test2_03%3A_Polynomial_and_Rational_Functions/Under_Construction_test2_03%3A_Polynomial_and_Rational_Functions_3.4%3A_Graphs_of_Polynomial_FunctionsThe revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase...The revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase or decreases? These questions, along with many others, can be answered by examining the graph of the polynomial function. We have already explored the local behavior of quadratics, a special case of polynomials. In this section we will explore the local behavior of polynomials in general.
- https://math.libretexts.org/Courses/Mission_College/Math_4B%3A_Differential_Equations_(Reed)/04%3A_Linear_Second_Order_Equations/4.04%3A_Higher_Order_Constant_Coefficient_Homogeneous_EquationsIn this section we consider the homogeneous constant coefficient equation of n-th order.
- https://math.libretexts.org/Courses/Angelo_State_University/Finite_Mathematics/04%3A_Linear_Polynomial_and_Rational_Functions/4.07%3A_Graphs_of_Polynomial_FunctionsSuppose the revenue for a fictional cable company can be modeled by a polynomial function. We can study this function (and its graph) to answer questions regarding the company's revenue. Many things ...Suppose the revenue for a fictional cable company can be modeled by a polynomial function. We can study this function (and its graph) to answer questions regarding the company's revenue. Many things in life can be modeled using polynomials. We have already explored quadratic functions, a special case of polynomials. In this section, we explore the behavior of polynomials in general.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/03%3A_Polynomial_Functions/3.01%3A_Graphs_of_PolynomialsThree of the families of functions studied thus far: constant, linear and quadratic, belong to a much larger group of functions called polynomials. We begin our formal study of general polynomials wit...Three of the families of functions studied thus far: constant, linear and quadratic, belong to a much larger group of functions called polynomials. We begin our formal study of general polynomials with a definition and some examples.
- https://math.libretexts.org/Courses/Mission_College/Math_1X%3A_College_Algebra_w__Support_(Sklar)/03%3A_Polynomial_and_Rational_Functions/3.02%3A_Graphs_of_Polynomial_FunctionsThe revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase...The revenue in millions of dollars for a fictional cable company can be modeled by the polynomial function From the model one may be interested in which intervals the revenue for the company increase or decreases? These questions, along with many others, can be answered by examining the graph of the polynomial function. We have already explored the local behavior of quadratics, a special case of polynomials. In this section we will explore the local behavior of polynomials in general.
