Pre-calc chapter 4 concepts and vocab – Flashcards

The graph of every polynomial is both ______ and _____

If r is a real zero of even multiplicity of a function f, then the graph of f (crosses/touches) the x-axis at r

the graphs of power functions of the form f(x)=x^n, where n>_2 is an even integer, always contain the points _____,_____,and_____

The points at which a graph changes direction are called _______

The graph of the function f(x)=3x^4-x^3+5x^2-2x-7 will behave like the graph of ______ for larger values of x

The domain of every rational function is the set of all real numbers. (true/false)

For a rational function R, if the degree of the numerator is less than the degree of the denominator, then R is ____

The graph of a rational function may intersect a horizontal asymptote. (true/false)

If a rational function is proper, then _____ is a horizontal asymptote.

If the degree of the numerator of a rational function equals the degree of the denominator, then the ration of the leading coefficients gives rise to the horizontal asymptote. (true/false)

The graph of a rational function may intersect a vertical asymptote. (T/F)

If the numerator and the denominator of a rational function have no common factor, the rational function is ______ ______ ______.

The graph of a rational function never intersects a _____ asymptote.

The graph of a rational function sometimes intersects an oblique asymptote. (T/F)

The graph of a rational function sometimes has a hole. (T/F)