Hello! I need help with this Algebra 2 homework.

1. What is the domain for the following rational function. (You may spell out infinity and negative infinity) use U for union * 2. What would my horizontal asymptote be for the function below (if there is any)? f(x) = 2( x+1)(x-6)(x-12)(x+4) 3(x-1) (x+4) (x+1)(x+7) 3. Which of the following is a potential graph for this function? * (2+5)(x 2) (x-2)(x+7) (x-2)(x-5) ~ (*+3)(3-5) -10 -5 10 15 20 (x+3)(x-2) D. [X-20) (x-15) (x-10)(x-3) E. 1 5)(x-3) (x-2)(x-2)4. Describe how to find holes and vertical asymptotes when you are given a rational function. * 5. Describe the transformations for the following function: 3 f (x = - 3 x-5 6. A submarine left Hawaii two hours before an aircraft carrier. The vessels traveled in opposite directions. The aircraft carrier traveled at 25 mph for nine hours. After this time, the vessels were 280 miles apart. Find the submarine's speed. * 7. A moving van is traveling 10 mph slower than a car. The moving van can travel 150 miles in the same amount of time a car can travel 175 miles. Find the speed of BOTH. * 8. 1) Given the graph of the function at right, identify the following: Circle One: Exponential or Logarithmic a. x-intercept b. y-intercept of 5 10 c. Domain: d. Range e. Asymptote(s) f. Write the function (proper notation): g. Write the inverse function (proper notation):9. Is the graph above an exponential graph or logarithmic graph? O Exponential Logarithmic 10. QUESTION 1a. x-intercept * Your answer 11. QUESTION 1b. y-intercept * Your answer 12. QUESTION 1c. Domain * Your answer 13. QUESTION 1d. Range * Your answer 14. QUESTION 1e. Asymptote(s) * Your answer15. QUESTION If. Write the function: * f(x) = 4*. f(x) - log4X QA OB F(x) = 3* /(x) = log;x OC OD f (x) - 21 f(x) - logzX OE OF 16. QUESTION 1f. Write the inverse function: " /(x) -4 /(x) - log4x O A OB /(x) - 3 f(x) - log3x O c OD / (x) = 20 /(x) = 1092x OE OF1T. 2} Give two points that will be on the following graph: HI) = 4" 13. 3) Give two points that will be on the following graph: x) = 1034 I 15. QUESTION 5 - Is the following function a growth or a decay? f0!) = 2'15)Jr 2t]. QUESTION It - Describe the domain of an exponential function. Your