RRHS AP PC Topic 1 REVIEW (part 1)

Front

What is the multiplicity of a linear factor?

Back

The multiplicity of a linear factor refers to the number of times that factor appears in a polynomial. It affects the behavior of the graph at the x-intercept.

Front

What does it mean when a function has an even multiplicity at a root?

Back

An even multiplicity at a root means the graph touches the x-axis at that point and does not cross it, resulting in a 'bounce' effect.

Front

What does it mean when a function has an odd multiplicity at a root?

Back

An odd multiplicity at a root means the graph crosses the x-axis at that point, resulting in a 'cross' effect.

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the leading term's degree and its coefficient. If the degree is odd, the ends go in opposite directions; if even, they go in the same direction.

Front

What is the degree of a polynomial function?

Back

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

Front

How do you find the roots of a polynomial function?

Back

To find the roots of a polynomial function, set the function equal to zero and solve for the variable.

Front

What is the significance of complex roots in polynomial functions?

Back

Complex roots occur in conjugate pairs and indicate that the graph does not intersect the x-axis at those points.

Front

What is the composition of functions?

Back

The composition of functions, denoted as (f o g)(x), means applying function g first and then applying function f to the result.

Front

How do you evaluate a composition of functions?

Back

To evaluate (f o g)(x), first find g(x), then substitute that result into f.

Front

What is a power function?

Back

A power function is a function of the form f(x) = kx^n, where k is a constant and n is a real number.