4. Mark is deciding which gym membership to buy. Points (2, 112) and (4,174) give the cost of gym membership at one gym after two months and four months. Points (1,62) and (3,102) give the cost of gym membership at a second gym after one and three months. a. Write equations to model the cost of each gym membership. b. At what point do the graphs intersect, if they intersect? C. Which gym is cheaper? explain. Optional Review Determine whether each relation is a function. Write yes or no. Then state the domain and the range of each of the following. 1 . 3. 2 . 3. D: D: R : R : 4. Using interval notation, state the domain, the range, 5. Find each value if f(x) = x2 + 5 and g(x) = -2x + 3 where the graph is positiveegative, and where the graph is increasing/decreasing. a. g(4) = Domain: b. g(f(x) = Range: - N Positive: c. (f g)(2a) = Negative: 4- 3 4 5 Increasing: d. (go f) (3) = Decreasing: 6. State the transformations of each of the following. 7. Write down functions f(x) and g(x) such that h(x) = (fog)(x). a. y = - f( x + 5) - 2 h ( x) = Vx2 - 3 b. y = 3f(x - 4) + 1