2.1 - 2.2 review

The _______ Theorem states that if f is a polynomial function such that f(a) = f(b) then in the interval (a,b), f takes on every value between f(a) and f(b)

Intermediate Value

The _______ is used to determine the left-hand and right-hand behavior of the graph of a polynomial function

Leading Coefficient Test

The graph of a quadratic function is symmetric about its _____

axis

The graphs of all polynomial functions are _____, which means that the graphs have no breaks, holes or gaps

continuous

standard form

f(x) = a(x-h)² *+ k

If the graph of a quadratic function opens downward, then its leading coefficient is ___ and the vertex of the graph is a ______

negative maximum

A polynomial function of degree n and leading coefficient a↓n is a function of the form f(x) = a↓nx↑n + ... + a₁x + a₀, where n is a ____ and a₁ is a ______

negative non-integer real number

If the graph of a quadratic function opens upward, then its leading coefficient is ____ and the vertex of the graph is a _____

positive minimum

A _______ function is a second-degree polynomial function, and its graph is called a _____

quadratic parabola

If a < 0, then f has a maximum at

x = -b/2a

If a > 0, then f has a minimum at

x = -b/2a