SHOW WORK FOR ALL PROBLEMS. 1. (10 pts) Given f (x) = vx -2 and g(x) = x -7 Find the domain for fig 2. (10 pts) Consider the points (-5, 2) and (-1, 10). (a) Find the midpoint (b) (10 pts) If the point you found in (a) is the center of a circle, and the other two points are points on the circle, find the length of the radius of the circle. 3. Analyze each of the four graphs as requested below. (ne explanation required.) (A) 10pts (B) 10pts Is the graph symmetric with respect to the Is the graph symmetric with respect to the x-axis? y-axis?_ origin? x-axis? y-axis? origin? State Y for Yes or N for No in each blank.) State Y for Yes or N for No in each blank.) Does the graph represent a function? Does the graph represent a function? Yes or No: Yes or No: If the graph does represent a function, is the function If the graph does represent a function, is the function even, odd, or neither even nor odd? even, odd, or neither even nor odd? (choose one, if applicable). (choose one, if applicable). 4. (10 pts) For income x (in dollars), a particular state's income tax / (in dollars) is given by 0.028x if 0 5 x s 4,000 T(x) = 112 + 0.035(x - 4,000) if 4,000 24,000