10. (9 points) Find the equation of the line through the points (7,13) and (3, 2). Show all your work, and leave the numbers in your nal answer in fractional form (not decimals). (You will receive full credit for a correct answer left in point-slope form.) 11. (9 points) Suppose x) is a function whose graph is shown below (not to scale). (2.4) (a) On which interval or intervals (values of m) is the function \"2} increasing? You may express your answer either in interval notation (e.g., \"on the intervals (22,55) and [16.3]\"} or by inequalities (e.g., \"for m > 325\"). (b) At which value(s) of 2 does m) have a relative minimum? 4 + i = 5. USE ALGEBRA, x + 3 1 1* not guessing, to determine your answer. Show all your work, and leave your answer(s) in exact form (i.e., radicals and fractions, not decimals). 12. {9 points) Find all solutions to the equation 3:2 4 m + 10 You may express your answer either in interval notation (e.g., \"[1,3] U (22, 55)") or by inequalities (e.g., \"a: 2* 325\"). 13. (12 points) Find the domain of the function g(x) = . Show all your work. 14. (12 points) Write the quadratic function x) = m2 + 10.1: + 227 in standard form and sketch its graph. Choose your scale and axes so that all important points are visible, and label the vertex and the y-intercept of your graph. (You do not need to label the :r-intercept(s), if any.) Show all your work. 15. {12 points) Find all possible solutions to the following system: 51 2y = 1, :11 + 33! = 3. If there are no solutions, or innitely many solutions, briey EXPLAIN how you know this is true. Show all your work, and leave all numerical answers in exact form (fractions, radicals, etc.) Note that solutions need not be whole numbers