Draw the graph given the equation. 4x+2Draw a graph of f(x) ==2x+2additional point on the graph.543-5-4-3-2-121by first placing the horizontal and vertical asymptotes, then plotting an1 2-1-2-3Clear All Draw:w+6

Answered: 4x+2 Draw a graph of f(x) = = 2x+2…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 61E

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Getting Information from a Graph From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes.
Use limits to determine the equations for all vertical asymptotes.a. y = x2 + 4/ x - 3b. ƒ(x) = x2 - x - 2/ x2 - 2x + 1c. y = x2 + x - 6/ x2 + 2x - 8
4. lim (x^2-4x-21)/(2x^3-4x^2-30x)x → −∞As x → −∞ , the graph has a:¯Removable discontinuity (hole)¯Jump discontinuity¯Vertical asymptote¯Horizontal asymptote¯None of the above
1.Find the x-intercept and the y-intercept. (x,y)= 2. Find the vertical asymptotes and the horizontal asymptote. 3. Find the end behavior of positive and negative infinity.
2. lim (x^2-4x-21)/(2x^3-4x^2-30x)x → 5At x = 5, the graph has a:¯Removable discontinuity (hole)¯Jump discontinuity¯Vertical asymptote¯Horizontal asymptote¯None of the above
(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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1. The graph of y = (8x-16)/(x-1) has a vertical asymptote. What is it? 2. Determine whether the following statement is true or false. If x=3 is a vertical asymptote of a rational function R, then |R(x)|= ∞. X → 3
(a) Using a graphing utility, graph f1x2 = x3 - 9x for- 4 ... x ... 4.(b) Find the x-intercepts of the graph of f.(c) Approximate any local maxima and local minima.(d) Determine where f is increasing and where it isdecreasing.(e) Without using a graphing utility, repeat parts (b)–(d)for y = f1x + 22.(f) Without using a graphing utility, repeat parts (b)–(d) fory = 2f1x2.(g) Without using a graphing utility, repeat parts (b)–(d)for y = f1 - x2.
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.
1. The graph of y=cscx has zeroes at? ( does it not cross the x-axis?) 2. What is the equation for the graph shown? 3. What are the asymptotes of y=4⋅csc(2x+π/2) ?

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4x+2 Draw a graph of f(x) = = 2x+2 additional point on the graph. 5 4 3 -5-4-3-2-1 2 1 by first placing the horizontal and vertical asymptotes, then plotting an 1 2 -1 -2 -3 Clear All Draw: w + 6