Q4:Week 30(3/25,3/26)HW#2 Analyzing Graphs of Polynomial Functi

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What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

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What is standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degree, from highest to lowest.

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What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

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What is an x-intercept?

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An x-intercept is a point where the graph of a function crosses the x-axis, meaning the value of y is zero at that point.

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What is a root of a polynomial?

Back

A root of a polynomial is a value of x that makes the polynomial equal to zero.

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What does it mean for a function to be symmetric with respect to the y-axis?

Back

A function is symmetric with respect to the y-axis if for every point (x, y) on the graph, the point (-x, y) is also on the graph.

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What does it mean for a function to be symmetric with respect to the origin?

Back

A function is symmetric with respect to the origin if for every point (x, y) on the graph, the point (-x, -y) is also on the graph.

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What is a relative maximum?

Back

A relative maximum is a point on the graph of a function where the function value is higher than the values of the function at nearby points.

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What is a relative minimum?

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

How do you determine the maximum number of roots of a polynomial?

Back

The maximum number of roots of a polynomial is determined by its degree; a polynomial of degree n can have at most n roots.