1. Simplify the expression (2 marks) 2. The height h, in feet, of a ball above the ground, t seconds after being thrown upward with a velocity of 48 ft/sec is given by h(t) = -16- + 48 [12 marks] a) At what time(s) will the ball be exactly 32 ft above the ground? b) What is the maximum height of the ball and when does that occur? c) When will the ball hit the ground?3. A grocer combines coffee costing $9 per pound with coffee costing $6 per pound. How many pounds of each are required to make 60 pounds of a blend costing $8 per pound? /6 marks) 4. Write the equation of the circle x* + y -2x -15=0 in standard form (x- a) + (y-b)] =>. Then state the center and radius of the circle and sketch a graph of it. /8 marks)5. Solve each equation or inequality: [18 marks] x+2 2x -5 a) b) 5x +11x - 12 = 0 x-3 x+1 c) 5+4x $13 d) 5ex#l - 1=2 e) cos( x) = n log, (2x + 3) + log, (x - 2) = 26. (10 marks] a) Find and state the domain of each given function: 1) f (x) = x3+1 in g(x) = V5+2x bj If f(x) = 3x - 2 and g(x) = x - 2x, find and simplify an expression for i g(1 - x) +1 in g(f(2)) 7. If $1000 is invested at an interest rate of 5% per year, find the value of the investment after 8 years, if the interest is compounded /6 marks) a) quarterly (i.c. four times a year). b) continuously.B. (12 marks) a) Consider the polynomial f(x) =2x-5x -4x+3 i) The degree of this polynomial is The function is even / odd / neither. (Circle the correct answer). ii) Find and classify all roots of the polynomial. (Hint: one root of the polynomial is X = -1). b) A polynomial g(X) has negative leading coefficient, a double root at X = 2, and single roots at X = 3 and X = -2 . Use this information to sketch a graph of this polynomial.9. Given the graph of the function y = f (x) shown to the right, sketch a graph of the function y= -f (x -2) +1. As part of your answer, briefly describe, in your own words, how you obtained your graph from the given graph. (8 marks) 10. /4 marks] a) Convert 330" to exact radian measure. b) Convert to exact degree measure.11. The population of a certain city is growing exponentially. The population was 112,000 in 2014, and the observed doubling time for the population is 18 years. In what year will the population reach 500,000? /8 marks) 12. Find the equation of the straight line that travels through the point (x,y) = (-3,1) and is perpendicular to the line y = 2x + 1. /6 marks)