Question 1 (10 points): a) (1 point) Find an equation of a line that goes through points (-1,4) and (2,-5) b) (1 point) Find an equation of a line that goes through points (-1,4) and has a slope of 4 c) (1 point) Solve the system of equations 2y + 3x = 6 3y + 5x = -1 d) (1 point) The Earth's population grows exponentially as N(t) = Ae 0.002t. Currently, there are 8 billion people on Earth. How long ago the population was only 1 billion? For parts (e)-(g), consider function f (x) = In *+6x+5 X-7 e) (2 points) What is the domain of f (x)? f) (2 points) Does f (x) has an inverse function? Explain why. g) (2 points) Does range of f (x) include all real numbers (i.e., all numbers between negative and positive infinity). Explain why