Ap precalc 1.7

the rational function h is expressed as the quotient of two polynomial functions f and g by h(x) the function f is given by f(x)= 6x^3=x^2+60x-25 if the graph of h has a slant asymptote of y=2x-1 which of the following describes g

g has a degree 2 with leading coefficient 3 (a)

The function h is given by h(x)= 2x^3/x+3 - 4/x-1 which of the following statements is true

h is equivalent to (foil out) and has the same end behavior as the graph y= 2x^2 (a)

which of the following statements are true about the chart

li rx is equal to 1/3 and r is undefined at x=2 so the graph of r has a hole at (2,4/2) (b)

In the ay-plane, the graph of a rational function f has a vertical asymptote at x=-5. Which of the following could be an expression fx

(x-5)(x-3)/(x-3)(x+5) (a)

for what input values of g are the output values of g equal to 0

-1,0,5 only B

on what intervals are x greater than or equal to 0

-3less than x less than or equal to 0 and x greater than 3 (d)

The rational function f is given by f(x)= x^k(x-1)(x+3)/x^5+2x-5. where k is a positive integer. For which of the following values of k will the graph of f have a horizontal asymptote at y=0

2

In the ry-plane, the graph of the rational function f has a vertical asymptote at x = 4. Which of the following expressions could define fx

A

chart one with r(x)

A

the rational function of h is given by h(x)=... which of the following describes the end behavior of h

as x increases without bound. h(x) increases without bound, and as x decreases without bound, h(x) deceases without bound (a)

the graph of the polynomial

c x=-2 and x=3 only (c)

The rational function r is given by r(x)+ (2x-3)(x-4)(x-2)/ (3x-1) (2x+1) (x-1) and is equivalent r(x)=p(x)/1(x) where p and q are polynomial functions. which of the following statements are true

the degree of p is equal to the degree of q and lim r(x)=1/3 (d)

the rational function g is given by g(x)= big numbers. which of the following statements describes the behavior of the graph x

the graph has a hole at x=-10 because (x+10) appears exactly once, when both the numerator and the denominator of g are factored (b)

Which of the following names a function with a hole in its graph at x = 1 and provides correct reasoning related to the hole?

the graph of f(x) +x^2-1/ x-1 get arbitrarily close to 2 for x values sufficiently close to 1. but the function is undefined at x=1 (A)

A polynomial function p has three distinct zeros each with multiplicity 1, and its leading coefficient is positive. The polynomial function g has exactly one zero with multiplicity 3, and its leading coefficient is negative. The rational function h can be written as the quotient of p and q by h(x)=px/qx which of the following statements about h must be true

the graph of h has a horizontal asymptote at y=a, where a is greater than 0 (c)

The rational function r is given by r (x)= ...... for what values of x does rx=0

x=-2.303,x=1,and x=1.303 only (d)