A function, has a relative maximum located at = over some open f, x a interval of the domain if is the largest value of on the interval. f(a) f Relative minimum points where the function changes from decreasing to increasing. A function, has a relative minimum located at = over some open f, x a interval of the domain if is the smallest of on the interval. f(a) f A in the domain of is an or a zero of a function if x f x-intercept f and only if = 0. f(x) Given a polynomial function the following statements are f(x), equivalent for any real number, such that = 0: k, f(k) is a zero of the polynomial function located at (k, 0); k f(x) is a solution or root of the polynomial equation = 0; k f(x) the point (k, 0) is an for the graph of = 0; and x-intercept f(x) (x is a factor of k) f(x). –
A function, f, has a relative maximum located at x = a over some open interval of the domain if f(a) is the largest value of f on the interval. Relative minimum points where the function changes from decreasing to increasing. A function, f, has a relative minimum located at x = a over some open interval of the domain if f(a) is the smallest of f on the interval. A x in the domain of f is an x-intercept or a zero of a function f if and only if f(x) = 0. Given a polynomial function f(x), the following statements are equivalent for any real number, k, such that f(k) = 0: k is a zero of the polynomial function f(x) located at (k, 0); k is a solution or root of the polynomial equation f(x) = 0; the point (k, 0) is an x-intercept for the graph of f(x) = 0; and (x – k) is a factor of f(x).