Math 3 EOC REVIEW 3rd

Front

What is the amplitude of a function?

Back

The amplitude is the maximum distance from the midline of the function to its peak or trough. For example, in the function y = A sin(x), the amplitude is |A|.

Front

What is a polynomial function?

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. For example, f(x) = x^2 - 3x + 2 is a polynomial.

Front

What is a lead coefficient in a polynomial?

Back

The lead coefficient is the coefficient of the term with the highest degree in a polynomial. It determines the end behavior of the polynomial function.

Front

What are distinct zeros of a polynomial?

Back

Distinct zeros are the unique values of x for which the polynomial equals zero. For example, in f(x) = (x - 1)(x - 2), the distinct zeros are x = 1 and x = 2.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a. It indicates where the function is undefined.

Front

How do you find vertical asymptotes of a rational function?

Back

To find vertical asymptotes, set the denominator of the rational function equal to zero and solve for x.

Front

What is a logarithmic function?

Back

A logarithmic function is the inverse of an exponential function. It is written as y = log_b(x), which means b^y = x.

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What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number. For example, in log_4(x), the base is 4.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a line y = b that a function approaches as x approaches infinity or negative infinity.

Front

How do you find horizontal asymptotes of a rational function?

Back

To find horizontal asymptotes, compare the degrees of the numerator and denominator. If the degree of the numerator is less, y = 0; if equal, y = leading coefficient of numerator/leading coefficient of denominator.