Math Problem Statement
Use the function f(x) = x^5 - 3x^3 + 4x^2 - 6 to determine the following: a) What is the degree of the polynomial? b) What is the maximum number of turning points the graph could have? c) What is the y-intercept? d) Find the value of f(-4).
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial functions
Degree of a polynomial
Turning points of a polynomial graph
Y-intercept
Evaluating polynomial functions
Formulas
Degree of a polynomial
Maximum number of turning points = degree - 1
Theorems
Polynomial properties related to degree and turning points
Suitable Grade Level
Grades 9-12
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