Please solve the problems attached below:

1. Which of the following are two of the vertical asymptotes for the function: f(x) = 3tan (4x) -1? A) X=1, X= 21 B) X=- 2 2 C) x=0, X= 2 D) x=- 4 E) *= = F) None of these2. Which of the following is a point that is on the graph of f(x) = 5tan (2x)-1 ? Hint: Plug in the x-coordinate and check if the y-coordinate is equal to f(x). For instance, the point (2,9) is ON the graph of f(x) = x +1 because f(2) = 2'+1=9; the point (1,5) is NOT on the graph of f(x) = x' +1 because f(1) =1' +1=2 #5. A) (x,1 ) B) 4 C) 4 D) 4 E) F) None of these3. List the period and two vertical asymptotes for the function: f(x) =2tan (xx)+1 . A) Period: 1, VA: x=1, x=2 B) Period: 1, VA: x=0, x= NW N - C) Period: 1, VA: x =- X= 2 D) Period: 7 , VA: X= N- NW E) Period: 2, VA: x = X= F) None of these4. List the period and two vertical asymptotes for the function: f(x) =3cot x +2 . A) Period: 2, VA: x=1, x=2 B) Period: 4, VA: x =0, x=4 C) Period: 4, VA: x =-, x=2 D) Period: # , VA: x=0, x=4 E) Period: 4, VA: x=0, x=2 F) None of these5. Which of the following is an x- intercept for the function: f(x) =4tan (x)-4? A) x=0 B) x=1 C) X=- 4 D) X= 4 E) X= F) None of these7. The following information is given about a function /(x) . o The period is 2. o The points P(1, -1) and P -.3 are on its graph. o x= 2 is a vertical asymptote. Which of the following can be this function? A) /(x) = col ( xx)+1 B) f (x) = 4cot ~x -1 C) f(x) = 2cot Ex -1 D) f(x) = 2cot ~x +1 2 E) / (x) = 4tan ~x-1 F) None of these8. Which of the following functions produces the given graph? Note that the point P is on the graph. A) (x) = tan (xx)+1 B) (x) = 2 tan (xx)-1 C) /(x) = 2tan (4x) +1 D) (x) = 2tan(xx) +1 E) /(x) = 2tan ~x +1 F) None of these 5 -3 15 C'S 4511. Let /(x) = 8sec(xx) +5. Find the value of A) 13 B) 11 C) 8 D) 21 E) 9 F) None of these 12. List the period and two vertical asymptotes for the function: (x) = 2sec(6x) . A) Period: 6, VA: 1=0, 1=X B) Period: 6, VA: x= 12 C) Period: VA: 1= 12 4 D) Period: , VA: 1= 6 12 A E) Period: L. VA: 1= NA 3 2 F) None of these13. List a key point and two vertical asymptotes for the function: /(x) = 4ese(3x) . Hint: Easy values for cosecant come from easy values for sine; inside of sine = 2' 2 . etc. A) A point on the graph: 4 VA: 1=0, x=1 6 B) A point on the graph: ,4 , VA: 1= 2 C) A point on the graph: -4 , VA: 1=0, 1= D) A point on the graph: 4 VA: 1=0, 1= 6 E) A point on the graph: 4 VA: 1=0, 1= F) None of these14. Let /(x) =4see(x)+8. Which of the following is an x-intercept of this function? Hint: Plug in and check; which value would make the function equal to zero? A) J= B) = 6 3 D) J= 6 E) *= F) None of these15. Write an equation of the function that is graphed below. The points (0,3) and (7,-1) are on this graph. PT.-1) A) f(x) =2sec(x)+1 B) S(x) = 2ese(x)+1 C) f(x) = see(x)+3 D) S(x)=-2sec(x)+3 E) S(x) = 2 sec(x)+3 F) None of the above