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Pre-Calculus 11 Chapter 7 Test Practice. Name :_________________ Date :________________ Block :________ Multiple Choice For #1 to #5, choose the best answer.
1. The value of the expression |โ9 โ 3 | โ |5 โ 2 3 | + |โ7 + 1 โ 4 | is A 13 B 19 C 21 D 25 2. The range of the function f ( x ) = | x โ 3 | is A { y | y > 3, y ั R} B { y | y โฅ 3, y ั R} C { y | y โฅ 0, y ั R} D { y | y > 0, y ั R} 3. The absolute value equation | 1 โ 2 x | = 9 has solution(s) A x = โ 4 B x = 5 C x = โ 5 and x = 4 D x = โ 4 and x = 5 4. The graph represents the reciprocal of which quadratic function? A f ( x ) = x 2 + x โ 2 B f ( x ) = x^2 โ 3 x + 2 C f ( x ) = x^2 โ x โ 2 D f ( x ) = x^2 + 3 x + 2 5. One of the vertical asymptotes of the graph of the reciprocal function y = has equation A x = 0 B x = 4 C x = 8 D x = 16
Short Answer
6. Consider the function f ( x ) = | 2 x โ 5 |. a) Sketch the graph of the function. b) Determine the intercepts. c) State the domain and range. d) What is the piecewise notation form of the function? 7. Solve the equation algebraically. a) |2 w โ 3| = w + 1 b) | 3 x^2 โ x | = 4 x โ 2
10. A biologist studying Canada geese migration analysed the vee flight formation of a particular flock using a coordinate system, in metres. The centre of each bird was assigned a coordinate point. The lead bird has the coordinates (0, 0), and the coordinates of two birds at the ends of each leg are (6. 2, 15. 5) and (- 6. 2, 15. 5). a) Write an absolute value function whose graph contains each leg of the vee formation. b) What is the angle between the legs of the vee formation, to the nearest tenth of a degree? c) The absolute value function y = |2.8 x | describes the flight pattern of a different flock of geese. What is the angle between the legs of this vee formation, to the nearest tenth of a degree?