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In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: n4 = n × n × n × n. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares.
The graph of a polynomial function changes direction at its turning points. A polynomial function of degree n has at most n − 1 turning points. To graph polynomial functions, find the zeros and their multiplicities, determine the end behavior, and ensure that the final graph has at most n − 1 turning points.
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21 Δεκ 2020 · For zeros with even multiplicities, the graphs touch or are tangent to the x-axis. For zeros with odd multiplicities, the graphs cross or intersect the x-axis. See Figure \ (\PageIndex {8}\) for examples of graphs of polynomial functions with multiplicity \ (p=1, p=2\), and \ (p=3\).
In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or ( x + 1) 3 .
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4 Ιουν 2023 · The graph of the right-hand side of \(x^4 = 16\) is a horizontal line, located 16 units above the x-axis. The graphs will intersect in two points, so the equation \(x^4 = 16\) has two real solutions. The solutions of \(x^4 = 16\) are called fourth roots of 16 and are written \(x = \pm \sqrt[4]{16}\).
