Alg2H Final Exam Review

Front

What is the maximum number of turning points for a polynomial function of degree n?

Back

The maximum number of turning points is n - 1.

Front

What are the roots of the polynomial function y = (x + 2)(x - 7)³?

Back

The roots are -2 and 7 (with multiplicity 3).

Front

What is the average rate of change of a function between two points?

Back

The average rate of change is calculated as (f(b) - f(a)) / (b - a).

Front

How do you determine the multiplicity of a root in a polynomial?

Back

The multiplicity of a root is the exponent of the factor associated with that root in the polynomial.

Front

What is the significance of a turning point in a polynomial function?

Back

A turning point indicates where the function changes direction, which can correspond to local maxima or minima.

Front

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

Back

A polynomial of degree n can have at most n roots, counting multiplicities.

Front

How do you find the average rate of change of a population over a period?

Back

Subtract the initial population from the final population and divide by the number of years.

Front

What does it mean for a root to have multiplicity greater than 1?

Back

A root with multiplicity greater than 1 indicates that the graph touches the x-axis at that root but does not cross it.

Front

What is the general form of a polynomial function?

Back

A polynomial function is expressed as f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n ≠ 0.

Front

How can you identify the end behavior of a polynomial function?

Back

The end behavior is determined by the leading term of the polynomial.