Precalc Honors Unit 2 Test Review

Front

What is the interval where f(x) < 0?

Back

The interval where f(x) < 0 is (1, 3).

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Back

The degree of the polynomial is 4.

Front

How many extrema (maxima and minima) can a polynomial have?

Back

A polynomial can have a maximum of n-1 extrema, where n is the degree of the polynomial.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Front

What is the horizontal asymptote of the function if the leading coefficients are equal?

Back

If the leading coefficients are equal, the horizontal asymptote is y = the ratio of the leading coefficients.

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Back

The other complex zero is x + 1.

Front

What is the Fundamental Theorem of Algebra?

Back

The Fundamental Theorem of Algebra states that every non-constant polynomial has at least one complex root.

Front

What is the definition of a polynomial function?

Back

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, for any two points x_1 and x_2 in the interval, if x_1 < x_2 then f(x_1) < f(x_2).

Front

What is the relationship between the degree of a polynomial and the number of roots it can have?

Back

The degree of a polynomial indicates the maximum number of roots (real or complex) it can have.