1. Find the interval(s) on which the function is continuous. If the function has a discontinuity, identify the conditions of continuity that are not satisfied. f(x)=x+2, 9-x, x6 x>6) 2. Determine whether each of the following functions is continuous on the entire real line. Explain. a) f(x)=-7x' +6x-9 b) g(x)== x-8x+12 x-36 3. A deposit of $7500 is made in an account that pays 8% interest, compounded semiannually. a) Find the amount in the account after t years later. b) What is the balance after 32 months? f(x) = { 4. Find the constant k such that the function is continuous on the entire real number line. (-x+7, x3 kxx-8, x>3 5. A recycling center pays $0.50 for each pound of aluminum cans. Twenty-four aluminum cans weigh one pound. A mathematical model for the amount M paid by the recycling center is where x is the number of cans. How much does the recycling center pay out -1 2 24 for 1500 cans? 1 x M