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Follow the seven step strategy to graph the following rational function. x + 2 f

ID: 2912974 • Letter: F

Question

Follow the seven step strategy to graph the following rational function. x + 2 f(x) +X 12 To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. O origin symmetry O y-axis symmetry O neither y-axis symmetry nor origin symmetry What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The y-intercept is O B. 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 O B. 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. (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

Explanation / Answer

f(x) = (x+2) / ( x^2 + x - 12 )

a) the graph is not symmteric

b) y intercept is

(0 , -1/6 )

c) x inetrecpt is ( -2, 0 )

d) vertical asymptotes

x^2 + x - 12 = 0

( x + 4 ) ( x- 3) = 0

x = -4 , 3

e) horizontal asymptote is y = 0

f) x -7 -5 -1 1 6 7

f(x) -1/6 -3/8 -1/12 -3/10 4/15 9/44

g) option A graph is correct