Question

Follow the seven step strategy to graph the following rational function. X+2 x²+x-12 To graph the function, first determine the symmetry of the graph off. Choose the correct answer below. neither y-axis symmetry nor origin symmetry Oy-axis symmetry O origin symmetry What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The y-intercept is (Type an integer or a simplified fraction.) OB. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There is no x-intercept. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The equation(s) of the vertical asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) OB. There is no vertical asymptote.

Answer 1

Solution fws x+2 x²+x-12 1 ) fon) X + 2 -X+2 T-802 HX) -12 & fix or ful x²-x-12 NOR So, the graph of f has neither y-an's symmetry origin symmetry yo) 름 -- 1 z o+2 oto2 2 -12 So, y - intercept is -1 (A) 3) fiw x+2 22 +2-12 3-2. > So, x intercept is 1-2 4). For vertical asymptotes x² + x -12 = (x+4) (x-3) x = -4,3 >0 Sog equations of vertical asymptotes are xs-4, x=3. (A)

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