Math III EOC Review #4

Front

What is the end behavior of the function f(x) = -x²(x+4)(x-3)³?

Back

As x → -∞, f(x) → -∞. As x → ∞, f(x) → -∞.

Front

How do you find the measure of an arc in a circle?

Back

The measure of an arc is equal to the angle subtended by the arc at the center of the circle.

Front

What are the zeros of a polynomial function?

Back

The zeros of a polynomial function are the x-values where the function equals zero.

Front

What is a vertical asymptote in a rational function?

Back

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

Front

How do you determine the radius of a circle from its equation?

Back

The radius is the square root of the constant term in the equation of the circle in standard form (x-h)² + (y-k)² = r².

Front

What is the standard form of a circle's equation?

Back

The standard form is (x-h)² + (y-k)² = r², where (h,k) is the center and r is the radius.

Front

What does it mean for a function to have a zero at x = a?

Back

It means that f(a) = 0, indicating that the graph of the function crosses the x-axis at that point.

Front

How do you identify the end behavior of polynomial functions?

Back

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

Front

What is the relationship between the degree of a polynomial and its end behavior?

Back

If the degree is even, both ends go in the same direction; if odd, they go in opposite directions.

Front

What is the significance of the multiplicity of a zero?

Back

The multiplicity indicates how many times a zero occurs and affects the graph's behavior at that zero.