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Math 20-1 Assignment Absolute Value Functions and Reciprocal Functions Name: ______________________________ Date: ________________ 1. Write the following as piecewise functions, and graph each function: y 3x 9 y 1 x 22 3 3 2. Given: p 1 p 1 Algebraically determine the solution(s) to this equation. Solution #1 p 1 p 1 Solution #2 p 1 p 1 Demonstrate the verifications of your solutions algebraically. 3. Consider: x2 4 x 2 Write y x 2 4 in piecewise notation. Algebraically determine the solution to x 2 4 x 2 Solution #1 x2 4 x 2 Solution #2 x2 4 x 2 Demonstrate the verifications of your solutions algebraically. 4. Solve: 3x 5 x 2 2 x 3 5. The launch window for a satellite is the set of times within which it must be launched to meet its objectives. The launch window for a new weather satellite is represented by the inequality: t 360 20 where time is in minutes from the start of the countdown to the launch. If the countdown starts at 01:00 hrs, what are the maximum and minimum times for which this satellite can be launched? Record your solution in h:min. (2 marks) 1 is shown to the right. f x State the equations of the horizontal and vertical asymptotes of the reciprocal graph and label them on the graph. (The asymptotes are integer values) 6. The graph of y Identify and label the locations of the invariant 1 points between y f x and y f x Use the graph to determine the x and y intercepts of the graph of y f x . Use your knowledge of reciprocal functions to determine the equation of y f x (Hint: y mx b )