The graph of k(x) is shown.-5 -410-3 -2 -1181716 50543241+-2-5-6-7-8-9-10-35In interval notation, the domain of k isIn interval notation, the range of k is& 9 10 11

Answered: The graph of k(x) is shown. -5 -4 -3 -2…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 63E

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2. Determine all values of x for which 0<= x2-11/x+1<=7 (include graph and intervals tables) *in the above question its x2 is x square of 2
Consider the function f(x) = 2xn/(x4 + 1) for nonnegative integer values of n. (a) Discuss the relationship between the value of n and the symmetry of the graph. (b) For which values of n will the x-axis be the horizontal asymptote? (c) For which value of n will y = 2 be the horizontal asymptote? (d) What is the asymptote of the graph when n = 5? (e) Use a graphing utility to graph f for the indicated values of n in the table. Use the graph to determine the number of extrema M and the number of inflection points N of the graph.
Given g(x) = (x + 4)(x2 − 8x + 15)/x2 + 3x − 4 (a) State the domain of g(x), using interval notation. (b) State whether the domain restrictions of g(x) are the locations of a hole or vertical asymptote in the graph of g(x).
2. (7) Determine the values of a for which f has a vertical asymptote. If multiple such values exist, enter the solutions using a comma-separated list.
r(x)=(5x−2)(x−1)2(x+2)(x+4)7x(x+2)(x−3)(x−5)2r(x)=(5x−2)(x−1)2(x+2)(x+4)7x(x+2)(x−3)(x−5)2. Indicate all asymptotes, holes, and crossings of the x-axis.
if f(x)=x^3-16xa) find the domain and range of f b) state approx the open intervals on which f is increasing and decreasinganswer both in interval notation
1. The cost of an appliance whose purchase price is $600 and annual hydro cost is given by C(n)= 600+115n/n, where C is the annual cost, in dollars, and n is the number of years. a. When will the annual cost of the appliance be $200? b. As n becomes very large, what happens to C? Justify your answer 2. Determine all values of x for which 0<= x(2)-11/x+1<=7 (include graph and intervals tables) *in the above question its x2 is x square of 2
determine the cross-sections of x relationship by letting x = k (k is an element of the reals) to thenfind the relationships for k = 0-6for the relationships of k = 3-6 sketch them on the interval y is an element of [1-pi, 1+pi]describe the relationships of k=0-2 as opposed to k=3-6
2.(16) Determine the values of a for which t has a vertical asymptote. If multiple such values exist, enter the solutions using a comma-separated list.
Find the horizontal asymptote(s) of h(x). h(x)= 9 - (8/x^2) + (-4x/(x+6)) If there are no horizontal symptotes, enter none. If there are more than one horizontal aymptote, enter a list of the equations separated by a comma. (i.e. y=0, y=-7)
2. Let g(x) = x4 − 3x2. Determine where g is increasing and decreasing, and where it is concave upand concave down. Then sketch a graph of g.
(a) Find the hole(s) of f(x). If there are no holes, enter none. If there is more than one hole, enter a list of the ordered pairs separated by a comma. (i.e. (1,2), (3,4)) (b) Find the vertical asymptote(s) of f(x). If there are no vertical asymptotes, enter none. If there are no vertical symptotes, enter a list of the equations separated by a comma. (i.e. x=5, x=-3) (c) Find the horizontal asymptotes of f(x). If there no horizontal asymptotes, enter none. If there is more than one horizontal asymptote, enter a list of the equations separated by commas. (i.e. y=9, y=-1)

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The graph of k(x) is shown. -5 -4 -3 -2 3 1 -5 á -7 2 90 -94 -101 14 $ In interval notation, the domain of k is In interval notation, the range of k is 5 9 10 E C