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Assignment 3.7: Rational Functions ' = Practice for this section. = You can attempt each problem twice, then the answer will be shown on your third attempt. = You can attempt each problem as many times needed as long as it is before the due date. = When reattempt a problem, you will receive a similar problem, not the exact previous problem. = You can keep on working on versions of a question until you get a perfect score on the exercises. @ Question 1 Honpt Oz 298 2 + 13z + 15 ket {o) = ke b This function has: 1) A y-intercept at the puint| 2) -intercepts at the point(s) 3) Vertical asymptotes at x = | Question Help: [ Video [ Post to forum Question 2 Fonpt D2 2o8 For each function, determine the long run behavior. Z r+1 T has Select an answer S' 42 41 5 has Select an answer W 242 =+ 1 = T has Select an answer b 242 Question Help: (Bl Video O Post to forum @ Question 3 Fo/pt O2 So98 z 4475 2 Find the horizontal asymptote of f(z) = & a1 Question Help: Video D Post to forum . Question 4 60/1 pt 02 98 3x- - 7r + 4 Let f(I) = 2x2 - 3x - 9 This function has: 1) A y-intercept at the point 2) x-intercepts at the point(s) 3) Vertical asymptotes at x = 4) Horizontal asymptote at y = Question Help: @Video D Post to forum . Question 5 C0/1 pt 02 98 Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -6 x-intercepts at x = -2 and x = -1 y-intercept at 8 y = Question Help: Video D Post to forum . Question 6 0/1 pt 02 98 Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -3 x-intercepts at x = -5 and x = 5 Horizontal asymptote at y = 4 y = Question Help: Video D Post to forum Question 7 0/1 pt 02 98Write an equation for the function graphed below -2 Q y = Question Help: @Video D Post to forum . Question 8 0/1 pt 02 98 Write an equation for the function graphed below 3 Q y= Question Help: @Video D Post to forum . Question 9 0/1 pt 02 98Write an equation for the function graphed below. The y intercept is at (0,0.2) 2 3 6 1-1 Q Y= Question Help: @Video D Post to forum . Question 10 0/1 pt 02 98 Write an equation for the function graphed below ins + Q y= Question Help: Video D Post to forum . Question 11 0/1 pt 02 98Graphing Asymptotes for a Rational Functions Two copies of the same Rational Function are shown below. On the graph below draw the Horizontal Asymptote On graph below, draw the the Vertical Asymptote and and write the equation for the horizontal asymptote write the equation for the Vertical Asymptote underneath. underneath. f ( x ) = _3 f(x) = 7 - 3 $ 4 -3 -2 -1 3 4 54 -3 -2 Not Horizontal Asymptote: Vertical Asymptote: Question Help: @Video D Post to forum . Question 12 0/1 pt 02 98Graphing Asymptotes for a Rational Functions Two copies of the same Rational Function are shown below. On the graph below draw the Horizontal Asymptote and write the On graph below, draw the the Vertical As equation for the horizontal asymptote underneath. equation for the Vertical Asymptote und 3r 3x f(x) = f (I) = 1 + 2 10 10 -9 8 -76 5 4 -3 -2 -1/ 2 3 4 5 6 7 8 9 10 10-9 8 -7 -6 -5 -4 -3 -2 -17 Horizontal Asymptote: Vertical Asymptote: Question Help: Video D Post to forum . Question 13 0/1 pt 02 98Write an equation for the function graphed below -2 234 5 6 7 Q Y= Question Help: @Video D Post to forum . Question 14 0/1 pt 02 98 Write an equation for the function graphed below Q y= Question Help: @Video D Post to forum . Question 15 0/1 pt 02 98Write an equation for the function graphed below. The y intercept is at (0,-0.2) 2 Q Y= Question Help: Video D Post to forum . Question 16 0/1 pt 02 98 a The graph of f(r) = - H | H is shown in black. Match each equation with a graph above. -vy= - +2 a. orange b. red - vy= 1 c. blue I 1 d. green -vy= -vy= HIN Question Help: Video D Post to forum . Question 17 0/1 pt O2 981 Find the domain of the function f(I) = 9r + 9 . What is the only value of a not in the domain? Only Value= Question Help: Video D Post to forum . Question 18 0/1 pt 02 98 Select the choice that is a graph of the function f(I) = 9 r - 2 2 (x +3)(x - 3) O+ Q HNWAY GANNA Q 5 4 -6/2 -1 15 6 a Q Question Help: D Post to forum\f\f\fSelect the choice that is a graph of the function f(x) =2(2+1)(x -3) (r + 4)(1 - 6) Note that the graph also shows the vertical asymtotes, x-intercepts (zeros of the function), and y-intercept. Q 785 Q O- a\f\f\f\f\fSelect the choice that is a graph of the function f(I) = - (r + 2) (1 - 4) (x + 1) . (x -2) - -- Q - - - - - - - - - Q O- Q\f\f\f\f\f